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Finding the Fourth Proportional to 157,419.24, 217,232.19 and 85,797.72

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Solution

The fourth proportional to 157,419.24, 217,232.19 and 85,797.72 is: 118,397.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,419.24 : 217,232.19 = 85,797.72 : x
  2. Step 2: Convert to fraction form
    157,419.24/217,232.19 = 85,797.72/x
  3. Step 3: Cross multiply
    157,419.24x = 217,232.19 × 85,797.72
  4. Step 4: Simplify right side
    157,419.24x = 18,638,026,612.61
  5. Step 5: Solve for x
    x = 18,638,026,612.61/157,419.24
  6. Step 6: Final answer
    x = 118,397.39

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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.