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Finding the Fourth Proportional to 129,226.60, 193,695.90 and 50,314.60

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Solution

The fourth proportional to 129,226.60, 193,695.90 and 50,314.60 is: 75,415.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,226.60 : 193,695.90 = 50,314.60 : x
  2. Step 2: Convert to fraction form
    129,226.60/193,695.90 = 50,314.60/x
  3. Step 3: Cross multiply
    129,226.60x = 193,695.90 × 50,314.60
  4. Step 4: Simplify right side
    129,226.60x = 9,745,731,730.14
  5. Step 5: Solve for x
    x = 9,745,731,730.14/129,226.60
  6. Step 6: Final answer
    x = 75,415.83

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Why These Related Problems?

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