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Finding the Fourth Proportional to 89,357, 123,543.06 and 85,440.20

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Solution

The fourth proportional to 89,357, 123,543.06 and 85,440.20 is: 118,127.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    89,357 : 123,543.06 = 85,440.20 : x
  2. Step 2: Convert to fraction form
    89,357/123,543.06 = 85,440.20/x
  3. Step 3: Cross multiply
    89,357x = 123,543.06 × 85,440.20
  4. Step 4: Simplify right side
    89,357x = 10,555,543,755.01
  5. Step 5: Solve for x
    x = 10,555,543,755.01/89,357
  6. Step 6: Final answer
    x = 118,127.78

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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.