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Finding the Fourth Proportional to 115,706.17, 159,689.31 and 64,721.73

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Solution

The fourth proportional to 115,706.17, 159,689.31 and 64,721.73 is: 89,324.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    115,706.17 : 159,689.31 = 64,721.73 : x
  2. Step 2: Convert to fraction form
    115,706.17/159,689.31 = 64,721.73/x
  3. Step 3: Cross multiply
    115,706.17x = 159,689.31 × 64,721.73
  4. Step 4: Simplify right side
    115,706.17x = 10,335,368,761.83
  5. Step 5: Solve for x
    x = 10,335,368,761.83/115,706.17
  6. Step 6: Final answer
    x = 89,324.27

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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.