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Finding the Fourth Proportional to 131,584, 181,585.92 and 71,969.28

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Solution

The fourth proportional to 131,584, 181,585.92 and 71,969.28 is: 99,317.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    131,584 : 181,585.92 = 71,969.28 : x
  2. Step 2: Convert to fraction form
    131,584/181,585.92 = 71,969.28/x
  3. Step 3: Cross multiply
    131,584x = 181,585.92 × 71,969.28
  4. Step 4: Simplify right side
    131,584x = 13,068,607,920.54
  5. Step 5: Solve for x
    x = 13,068,607,920.54/131,584
  6. Step 6: Final answer
    x = 99,317.61

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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.