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Finding the Fourth Proportional to 367,549.14, 551,064.51 and 142,722.30

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Solution

The fourth proportional to 367,549.14, 551,064.51 and 142,722.30 is: 213,982.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    367,549.14 : 551,064.51 = 142,722.30 : x
  2. Step 2: Convert to fraction form
    367,549.14/551,064.51 = 142,722.30/x
  3. Step 3: Cross multiply
    367,549.14x = 551,064.51 × 142,722.30
  4. Step 4: Simplify right side
    367,549.14x = 78,649,194,315.57
  5. Step 5: Solve for x
    x = 78,649,194,315.57/367,549.14
  6. Step 6: Final answer
    x = 213,982.80

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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.