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Finding the Fourth Proportional to 367,451.81, 550,963.20 and 142,549.46

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Solution

The fourth proportional to 367,451.81, 550,963.20 and 142,549.46 is: 213,740.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    367,451.81 : 550,963.20 = 142,549.46 : x
  2. Step 2: Convert to fraction form
    367,451.81/550,963.20 = 142,549.46/x
  3. Step 3: Cross multiply
    367,451.81x = 550,963.20 × 142,549.46
  4. Step 4: Simplify right side
    367,451.81x = 78,539,503,885.06
  5. Step 5: Solve for x
    x = 78,539,503,885.06/367,451.81
  6. Step 6: Final answer
    x = 213,740.97

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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.