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Finding the Fourth Proportional to 120,494.28, 166,277.70 and 72,743.16

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Solution

The fourth proportional to 120,494.28, 166,277.70 and 72,743.16 is: 100,382.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,494.28 : 166,277.70 = 72,743.16 : x
  2. Step 2: Convert to fraction form
    120,494.28/166,277.70 = 72,743.16/x
  3. Step 3: Cross multiply
    120,494.28x = 166,277.70 × 72,743.16
  4. Step 4: Simplify right side
    120,494.28x = 12,095,565,335.53
  5. Step 5: Solve for x
    x = 12,095,565,335.53/120,494.28
  6. Step 6: Final answer
    x = 100,382.90

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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.