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Finding the Fourth Proportional to 128,351.52, 177,141.60 and 71,766

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Solution

The fourth proportional to 128,351.52, 177,141.60 and 71,766 is: 99,046.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    128,351.52 : 177,141.60 = 71,766 : x
  2. Step 2: Convert to fraction form
    128,351.52/177,141.60 = 71,766/x
  3. Step 3: Cross multiply
    128,351.52x = 177,141.60 × 71,766
  4. Step 4: Simplify right side
    128,351.52x = 12,712,744,065.60
  5. Step 5: Solve for x
    x = 12,712,744,065.60/128,351.52
  6. Step 6: Final answer
    x = 99,046.31

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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.