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Finding the Fourth Proportional to 129,904.50, 194,293.86 and 76,469.16

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Solution

The fourth proportional to 129,904.50, 194,293.86 and 76,469.16 is: 114,372.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,904.50 : 194,293.86 = 76,469.16 : x
  2. Step 2: Convert to fraction form
    129,904.50/194,293.86 = 76,469.16/x
  3. Step 3: Cross multiply
    129,904.50x = 194,293.86 × 76,469.16
  4. Step 4: Simplify right side
    129,904.50x = 14,857,488,267.36
  5. Step 5: Solve for x
    x = 14,857,488,267.36/129,904.50
  6. Step 6: Final answer
    x = 114,372.39

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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.