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Finding the Fourth Proportional to 243,413.61, 365,154.90 and 74,947.96

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Solution

The fourth proportional to 243,413.61, 365,154.90 and 74,947.96 is: 112,432.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    243,413.61 : 365,154.90 = 74,947.96 : x
  2. Step 2: Convert to fraction form
    243,413.61/365,154.90 = 74,947.96/x
  3. Step 3: Cross multiply
    243,413.61x = 365,154.90 × 74,947.96
  4. Step 4: Simplify right side
    243,413.61x = 27,367,614,839.00
  5. Step 5: Solve for x
    x = 27,367,614,839.00/243,413.61
  6. Step 6: Final answer
    x = 112,432.56

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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.