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Finding the Fourth Proportional to 132,020.71, 182,198.24 and 75,430.87

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Solution

The fourth proportional to 132,020.71, 182,198.24 and 75,430.87 is: 104,100.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,020.71 : 182,198.24 = 75,430.87 : x
  2. Step 2: Convert to fraction form
    132,020.71/182,198.24 = 75,430.87/x
  3. Step 3: Cross multiply
    132,020.71x = 182,198.24 × 75,430.87
  4. Step 4: Simplify right side
    132,020.71x = 13,743,371,755.67
  5. Step 5: Solve for x
    x = 13,743,371,755.67/132,020.71
  6. Step 6: Final answer
    x = 104,100.12

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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.