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Finding the Fourth Proportional to 261,472.78, 392,375.04 and 111,714.20

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Solution

The fourth proportional to 261,472.78, 392,375.04 and 111,714.20 is: 167,642.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    261,472.78 : 392,375.04 = 111,714.20 : x
  2. Step 2: Convert to fraction form
    261,472.78/392,375.04 = 111,714.20/x
  3. Step 3: Cross multiply
    261,472.78x = 392,375.04 × 111,714.20
  4. Step 4: Simplify right side
    261,472.78x = 43,833,863,693.57
  5. Step 5: Solve for x
    x = 43,833,863,693.57/261,472.78
  6. Step 6: Final answer
    x = 167,642.17

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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.