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Finding the Fourth Proportional to 120,714.29, 166,593.67 and 69,729.17

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Solution

The fourth proportional to 120,714.29, 166,593.67 and 69,729.17 is: 96,230.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,714.29 : 166,593.67 = 69,729.17 : x
  2. Step 2: Convert to fraction form
    120,714.29/166,593.67 = 69,729.17/x
  3. Step 3: Cross multiply
    120,714.29x = 166,593.67 × 69,729.17
  4. Step 4: Simplify right side
    120,714.29x = 11,616,437,329.06
  5. Step 5: Solve for x
    x = 11,616,437,329.06/120,714.29
  6. Step 6: Final answer
    x = 96,230.84

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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.