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Finding the Fourth Proportional to 132,413.38, 182,716.82 and 78,688.06

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Solution

The fourth proportional to 132,413.38, 182,716.82 and 78,688.06 is: 108,581.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,413.38 : 182,716.82 = 78,688.06 : x
  2. Step 2: Convert to fraction form
    132,413.38/182,716.82 = 78,688.06/x
  3. Step 3: Cross multiply
    132,413.38x = 182,716.82 × 78,688.06
  4. Step 4: Simplify right side
    132,413.38x = 14,377,632,095.17
  5. Step 5: Solve for x
    x = 14,377,632,095.17/132,413.38
  6. Step 6: Final answer
    x = 108,581.41

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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.