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Finding the Fourth Proportional to 132,413.52, 182,719.80 and 77,957.04

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Solution

The fourth proportional to 132,413.52, 182,719.80 and 77,957.04 is: 107,574.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,413.52 : 182,719.80 = 77,957.04 : x
  2. Step 2: Convert to fraction form
    132,413.52/182,719.80 = 77,957.04/x
  3. Step 3: Cross multiply
    132,413.52x = 182,719.80 × 77,957.04
  4. Step 4: Simplify right side
    132,413.52x = 14,244,294,757.39
  5. Step 5: Solve for x
    x = 14,244,294,757.39/132,413.52
  6. Step 6: Final answer
    x = 107,574.32

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.