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Finding the Fourth Proportional to 132,002.39, 182,159.87 and 75,413.76

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Solution

The fourth proportional to 132,002.39, 182,159.87 and 75,413.76 is: 104,069.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,002.39 : 182,159.87 = 75,413.76 : x
  2. Step 2: Convert to fraction form
    132,002.39/182,159.87 = 75,413.76/x
  3. Step 3: Cross multiply
    132,002.39x = 182,159.87 × 75,413.76
  4. Step 4: Simplify right side
    132,002.39x = 13,737,360,340.74
  5. Step 5: Solve for x
    x = 13,737,360,340.74/132,002.39
  6. Step 6: Final answer
    x = 104,069.03

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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.