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Finding the Fourth Proportional to 122,489.36, 169,022.24 and 68,780.24

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Solution

The fourth proportional to 122,489.36, 169,022.24 and 68,780.24 is: 94,909.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,489.36 : 169,022.24 = 68,780.24 : x
  2. Step 2: Convert to fraction form
    122,489.36/169,022.24 = 68,780.24/x
  3. Step 3: Cross multiply
    122,489.36x = 169,022.24 × 68,780.24
  4. Step 4: Simplify right side
    122,489.36x = 11,625,390,232.54
  5. Step 5: Solve for x
    x = 11,625,390,232.54/122,489.36
  6. Step 6: Final answer
    x = 94,909.39

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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.