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Finding the Fourth Proportional to 153,200.40, 229,606.20 and 135,704.40

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Solution

The fourth proportional to 153,200.40, 229,606.20 and 135,704.40 is: 203,384.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,200.40 : 229,606.20 = 135,704.40 : x
  2. Step 2: Convert to fraction form
    153,200.40/229,606.20 = 135,704.40/x
  3. Step 3: Cross multiply
    153,200.40x = 229,606.20 × 135,704.40
  4. Step 4: Simplify right side
    153,200.40x = 31,158,571,607.28
  5. Step 5: Solve for x
    x = 31,158,571,607.28/153,200.40
  6. Step 6: Final answer
    x = 203,384.40

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