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Finding the Fourth Proportional to 135,413.76, 203,189.76 and 61,532.16

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Solution

The fourth proportional to 135,413.76, 203,189.76 and 61,532.16 is: 92,329.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,413.76 : 203,189.76 = 61,532.16 : x
  2. Step 2: Convert to fraction form
    135,413.76/203,189.76 = 61,532.16/x
  3. Step 3: Cross multiply
    135,413.76x = 203,189.76 × 61,532.16
  4. Step 4: Simplify right side
    135,413.76x = 12,502,704,822.68
  5. Step 5: Solve for x
    x = 12,502,704,822.68/135,413.76
  6. Step 6: Final answer
    x = 92,329.65

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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.