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Finding the Fourth Proportional to 361,874.20, 542,552.10 and 151,403.80

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Solution

The fourth proportional to 361,874.20, 542,552.10 and 151,403.80 is: 226,997.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    361,874.20 : 542,552.10 = 151,403.80 : x
  2. Step 2: Convert to fraction form
    361,874.20/542,552.10 = 151,403.80/x
  3. Step 3: Cross multiply
    361,874.20x = 542,552.10 × 151,403.80
  4. Step 4: Simplify right side
    361,874.20x = 82,144,449,637.98
  5. Step 5: Solve for x
    x = 82,144,449,637.98/361,874.20
  6. Step 6: Final answer
    x = 226,997.25

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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.