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Finding the Fourth Proportional to 157,087.56, 216,764.42 and 89,082.80

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Solution

The fourth proportional to 157,087.56, 216,764.42 and 89,082.80 is: 122,924.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,087.56 : 216,764.42 = 89,082.80 : x
  2. Step 2: Convert to fraction form
    157,087.56/216,764.42 = 89,082.80/x
  3. Step 3: Cross multiply
    157,087.56x = 216,764.42 × 89,082.80
  4. Step 4: Simplify right side
    157,087.56x = 19,309,981,473.98
  5. Step 5: Solve for x
    x = 19,309,981,473.98/157,087.56
  6. Step 6: Final answer
    x = 122,924.96

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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.