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Finding the Fourth Proportional to 367,436.35, 551,189.31 and 142,814.14

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Solution

The fourth proportional to 367,436.35, 551,189.31 and 142,814.14 is: 214,234.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    367,436.35 : 551,189.31 = 142,814.14 : x
  2. Step 2: Convert to fraction form
    367,436.35/551,189.31 = 142,814.14/x
  3. Step 3: Cross multiply
    367,436.35x = 551,189.31 × 142,814.14
  4. Step 4: Simplify right side
    367,436.35x = 78,717,625,371.32
  5. Step 5: Solve for x
    x = 78,717,625,371.32/367,436.35
  6. Step 6: Final answer
    x = 214,234.72

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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.