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Finding the Fourth Proportional to 129,116.64, 193,625.76 and 50,221.44

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Solution

The fourth proportional to 129,116.64, 193,625.76 and 50,221.44 is: 75,313.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,116.64 : 193,625.76 = 50,221.44 : x
  2. Step 2: Convert to fraction form
    129,116.64/193,625.76 = 50,221.44/x
  3. Step 3: Cross multiply
    129,116.64x = 193,625.76 × 50,221.44
  4. Step 4: Simplify right side
    129,116.64x = 9,724,164,488.29
  5. Step 5: Solve for x
    x = 9,724,164,488.29/129,116.64
  6. Step 6: Final answer
    x = 75,313.02

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.