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Finding the Fourth Proportional to 99,561.60, 137,413.80 and 57,147.84

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Solution

The fourth proportional to 99,561.60, 137,413.80 and 57,147.84 is: 78,874.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,561.60 : 137,413.80 = 57,147.84 : x
  2. Step 2: Convert to fraction form
    99,561.60/137,413.80 = 57,147.84/x
  3. Step 3: Cross multiply
    99,561.60x = 137,413.80 × 57,147.84
  4. Step 4: Simplify right side
    99,561.60x = 7,852,901,856.19
  5. Step 5: Solve for x
    x = 7,852,901,856.19/99,561.60
  6. Step 6: Final answer
    x = 78,874.81

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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.