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Finding the Fourth Proportional to 158,273.40, 237,410.10 and 47,465.40

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Solution

The fourth proportional to 158,273.40, 237,410.10 and 47,465.40 is: 71,198.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    158,273.40 : 237,410.10 = 47,465.40 : x
  2. Step 2: Convert to fraction form
    158,273.40/237,410.10 = 47,465.40/x
  3. Step 3: Cross multiply
    158,273.40x = 237,410.10 × 47,465.40
  4. Step 4: Simplify right side
    158,273.40x = 11,268,765,360.54
  5. Step 5: Solve for x
    x = 11,268,765,360.54/158,273.40
  6. Step 6: Final answer
    x = 71,198.10

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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.