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Finding the Fourth Proportional to 157,411.97, 217,222.19 and 85,790.46

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Solution

The fourth proportional to 157,411.97, 217,222.19 and 85,790.46 is: 118,387.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,411.97 : 217,222.19 = 85,790.46 : x
  2. Step 2: Convert to fraction form
    157,411.97/217,222.19 = 85,790.46/x
  3. Step 3: Cross multiply
    157,411.97x = 217,222.19 × 85,790.46
  4. Step 4: Simplify right side
    157,411.97x = 18,635,591,602.31
  5. Step 5: Solve for x
    x = 18,635,591,602.31/157,411.97
  6. Step 6: Final answer
    x = 118,387.39

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1.5x scale

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.