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Finding the Fourth Proportional to 129,765.96, 194,588.46 and 67,419.72

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Solution

The fourth proportional to 129,765.96, 194,588.46 and 67,419.72 is: 101,098.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,765.96 : 194,588.46 = 67,419.72 : x
  2. Step 2: Convert to fraction form
    129,765.96/194,588.46 = 67,419.72/x
  3. Step 3: Cross multiply
    129,765.96x = 194,588.46 × 67,419.72
  4. Step 4: Simplify right side
    129,765.96x = 13,119,099,488.43
  5. Step 5: Solve for x
    x = 13,119,099,488.43/129,765.96
  6. Step 6: Final answer
    x = 101,098.16

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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.