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Finding the Fourth Proportional to 122,644.88, 169,123.92 and 102,494.24

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Solution

The fourth proportional to 122,644.88, 169,123.92 and 102,494.24 is: 141,336.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,644.88 : 169,123.92 = 102,494.24 : x
  2. Step 2: Convert to fraction form
    122,644.88/169,123.92 = 102,494.24/x
  3. Step 3: Cross multiply
    122,644.88x = 169,123.92 × 102,494.24
  4. Step 4: Simplify right side
    122,644.88x = 17,334,227,646.22
  5. Step 5: Solve for x
    x = 17,334,227,646.22/122,644.88
  6. Step 6: Final answer
    x = 141,336.74

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.