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Finding the Fourth Proportional to 157,122.72, 216,834.17 and 85,498.47

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Solution

The fourth proportional to 157,122.72, 216,834.17 and 85,498.47 is: 117,990.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,122.72 : 216,834.17 = 85,498.47 : x
  2. Step 2: Convert to fraction form
    157,122.72/216,834.17 = 85,498.47/x
  3. Step 3: Cross multiply
    157,122.72x = 216,834.17 × 85,498.47
  4. Step 4: Simplify right side
    157,122.72x = 18,538,989,351.23
  5. Step 5: Solve for x
    x = 18,538,989,351.23/157,122.72
  6. Step 6: Final answer
    x = 117,990.51

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