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Finding the Fourth Proportional to 122,564.24, 169,134.84 and 68,855.12

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Solution

The fourth proportional to 122,564.24, 169,134.84 and 68,855.12 is: 95,017.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,564.24 : 169,134.84 = 68,855.12 : x
  2. Step 2: Convert to fraction form
    122,564.24/169,134.84 = 68,855.12/x
  3. Step 3: Cross multiply
    122,564.24x = 169,134.84 × 68,855.12
  4. Step 4: Simplify right side
    122,564.24x = 11,645,799,704.38
  5. Step 5: Solve for x
    x = 11,645,799,704.38/122,564.24
  6. Step 6: Final answer
    x = 95,017.92

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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.