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Finding the Fourth Proportional to 129,706.60, 194,560.62 and 36,213.16

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Solution

The fourth proportional to 129,706.60, 194,560.62 and 36,213.16 is: 54,319.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,706.60 : 194,560.62 = 36,213.16 : x
  2. Step 2: Convert to fraction form
    129,706.60/194,560.62 = 36,213.16/x
  3. Step 3: Cross multiply
    129,706.60x = 194,560.62 × 36,213.16
  4. Step 4: Simplify right side
    129,706.60x = 7,045,654,861.76
  5. Step 5: Solve for x
    x = 7,045,654,861.76/129,706.60
  6. Step 6: Final answer
    x = 54,319.94

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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.