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Finding the Fourth Proportional to 266,097.96, 398,861.28 and 132,714.72

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Solution

The fourth proportional to 266,097.96, 398,861.28 and 132,714.72 is: 198,929.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    266,097.96 : 398,861.28 = 132,714.72 : x
  2. Step 2: Convert to fraction form
    266,097.96/398,861.28 = 132,714.72/x
  3. Step 3: Cross multiply
    266,097.96x = 398,861.28 × 132,714.72
  4. Step 4: Simplify right side
    266,097.96x = 52,934,763,094.04
  5. Step 5: Solve for x
    x = 52,934,763,094.04/266,097.96
  6. Step 6: Final answer
    x = 198,929.61

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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.