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Finding the Fourth Proportional to 158,652,015.40, 237,978,023.10 and 135,977,199.40

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Solution

The fourth proportional to 158,652,015.40, 237,978,023.10 and 135,977,199.40 is: 203,965,799.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    158,652,015.40 : 237,978,023.10 = 135,977,199.40 : x
  2. Step 2: Convert to fraction form
    158,652,015.40/237,978,023.10 = 135,977,199.40/x
  3. Step 3: Cross multiply
    158,652,015.40x = 237,978,023.10 × 135,977,199.40
  4. Step 4: Simplify right side
    158,652,015.40x = 32,359,585,099,886,508
  5. Step 5: Solve for x
    x = 32,359,585,099,886,508/158,652,015.40
  6. Step 6: Final answer
    x = 203,965,799.10

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.