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Finding the Fourth Proportional to 157,351.04, 217,146.92 and 85,731.04

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Solution

The fourth proportional to 157,351.04, 217,146.92 and 85,731.04 is: 118,310.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,351.04 : 217,146.92 = 85,731.04 : x
  2. Step 2: Convert to fraction form
    157,351.04/217,146.92 = 85,731.04/x
  3. Step 3: Cross multiply
    157,351.04x = 217,146.92 × 85,731.04
  4. Step 4: Simplify right side
    157,351.04x = 18,616,231,284.40
  5. Step 5: Solve for x
    x = 18,616,231,284.40/157,351.04
  6. Step 6: Final answer
    x = 118,310.19

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.