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Finding the Fourth Proportional to 551,142.92, 826,714.44 and 172,096.13

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Solution

The fourth proportional to 551,142.92, 826,714.44 and 172,096.13 is: 258,144.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    551,142.92 : 826,714.44 = 172,096.13 : x
  2. Step 2: Convert to fraction form
    551,142.92/826,714.44 = 172,096.13/x
  3. Step 3: Cross multiply
    551,142.92x = 826,714.44 × 172,096.13
  4. Step 4: Simplify right side
    551,142.92x = 142,274,357,805.90
  5. Step 5: Solve for x
    x = 142,274,357,805.90/551,142.92
  6. Step 6: Final answer
    x = 258,144.22

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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.