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Finding the Fourth Proportional to 122,839.14, 169,433.19 and 75,115.98

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Solution

The fourth proportional to 122,839.14, 169,433.19 and 75,115.98 is: 103,608.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,839.14 : 169,433.19 = 75,115.98 : x
  2. Step 2: Convert to fraction form
    122,839.14/169,433.19 = 75,115.98/x
  3. Step 3: Cross multiply
    122,839.14x = 169,433.19 × 75,115.98
  4. Step 4: Simplify right side
    122,839.14x = 12,727,140,111.38
  5. Step 5: Solve for x
    x = 12,727,140,111.38/122,839.14
  6. Step 6: Final answer
    x = 103,608.18

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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.