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Finding the Fourth Proportional to 140,107, 193,347.68 and 89,806.12

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Solution

The fourth proportional to 140,107, 193,347.68 and 89,806.12 is: 123,932.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,107 : 193,347.68 = 89,806.12 : x
  2. Step 2: Convert to fraction form
    140,107/193,347.68 = 89,806.12/x
  3. Step 3: Cross multiply
    140,107x = 193,347.68 × 89,806.12
  4. Step 4: Simplify right side
    140,107x = 17,363,804,951.80
  5. Step 5: Solve for x
    x = 17,363,804,951.80/140,107
  6. Step 6: Final answer
    x = 123,932.46

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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.