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Finding the Fourth Proportional to 367,084.80, 550,463.17 and 142,370.55

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Solution

The fourth proportional to 367,084.80, 550,463.17 and 142,370.55 is: 213,492.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    367,084.80 : 550,463.17 = 142,370.55 : x
  2. Step 2: Convert to fraction form
    367,084.80/550,463.17 = 142,370.55/x
  3. Step 3: Cross multiply
    367,084.80x = 550,463.17 × 142,370.55
  4. Step 4: Simplify right side
    367,084.80x = 78,369,744,267.64
  5. Step 5: Solve for x
    x = 78,369,744,267.64/367,084.80
  6. Step 6: Final answer
    x = 213,492.21

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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.