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Finding the Fourth Proportional to 123,082.10, 169,853.54 and 71,409.24

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Solution

The fourth proportional to 123,082.10, 169,853.54 and 71,409.24 is: 98,544.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,082.10 : 169,853.54 = 71,409.24 : x
  2. Step 2: Convert to fraction form
    123,082.10/169,853.54 = 71,409.24/x
  3. Step 3: Cross multiply
    123,082.10x = 169,853.54 × 71,409.24
  4. Step 4: Simplify right side
    123,082.10x = 12,129,112,202.71
  5. Step 5: Solve for x
    x = 12,129,112,202.71/123,082.10
  6. Step 6: Final answer
    x = 98,544.89

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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.