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Finding the Fourth Proportional to 147,722.88, 221,613.48 and 54,229.44

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Solution

The fourth proportional to 147,722.88, 221,613.48 and 54,229.44 is: 81,354.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,722.88 : 221,613.48 = 54,229.44 : x
  2. Step 2: Convert to fraction form
    147,722.88/221,613.48 = 54,229.44/x
  3. Step 3: Cross multiply
    147,722.88x = 221,613.48 × 54,229.44
  4. Step 4: Simplify right side
    147,722.88x = 12,017,974,916.85
  5. Step 5: Solve for x
    x = 12,017,974,916.85/147,722.88
  6. Step 6: Final answer
    x = 81,354.86

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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.