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Finding the Fourth Proportional to 116,886.92, 175,397.34 and 49,413.56

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Solution

The fourth proportional to 116,886.92, 175,397.34 and 49,413.56 is: 74,148.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    116,886.92 : 175,397.34 = 49,413.56 : x
  2. Step 2: Convert to fraction form
    116,886.92/175,397.34 = 49,413.56/x
  3. Step 3: Cross multiply
    116,886.92x = 175,397.34 × 49,413.56
  4. Step 4: Simplify right side
    116,886.92x = 8,667,006,983.93
  5. Step 5: Solve for x
    x = 8,667,006,983.93/116,886.92
  6. Step 6: Final answer
    x = 74,148.65

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.