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Finding the Fourth Proportional to 157,500.40, 217,331.76 and 89,492.80

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Solution

The fourth proportional to 157,500.40, 217,331.76 and 89,492.80 is: 123,489.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,500.40 : 217,331.76 = 89,492.80 : x
  2. Step 2: Convert to fraction form
    157,500.40/217,331.76 = 89,492.80/x
  3. Step 3: Cross multiply
    157,500.40x = 217,331.76 × 89,492.80
  4. Step 4: Simplify right side
    157,500.40x = 19,449,627,731.33
  5. Step 5: Solve for x
    x = 19,449,627,731.33/157,500.40
  6. Step 6: Final answer
    x = 123,489.39

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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.