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Finding the Fourth Proportional to 212,204.57, 318,306.92 and 54,432.99

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Solution

The fourth proportional to 212,204.57, 318,306.92 and 54,432.99 is: 81,649.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    212,204.57 : 318,306.92 = 54,432.99 : x
  2. Step 2: Convert to fraction form
    212,204.57/318,306.92 = 54,432.99/x
  3. Step 3: Cross multiply
    212,204.57x = 318,306.92 × 54,432.99
  4. Step 4: Simplify right side
    212,204.57x = 17,326,397,121.13
  5. Step 5: Solve for x
    x = 17,326,397,121.13/212,204.57
  6. Step 6: Final answer
    x = 81,649.50

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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.