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Finding the Fourth Proportional to 113,711.56, 156,922.66 and 63,413.80

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Solution

The fourth proportional to 113,711.56, 156,922.66 and 63,413.80 is: 87,511.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    113,711.56 : 156,922.66 = 63,413.80 : x
  2. Step 2: Convert to fraction form
    113,711.56/156,922.66 = 63,413.80/x
  3. Step 3: Cross multiply
    113,711.56x = 156,922.66 × 63,413.80
  4. Step 4: Simplify right side
    113,711.56x = 9,951,062,176.71
  5. Step 5: Solve for x
    x = 9,951,062,176.71/113,711.56
  6. Step 6: Final answer
    x = 87,511.44

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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.