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Finding the Fourth Proportional to 154,227.40, 231,686.70 and 147,929.80

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Solution

The fourth proportional to 154,227.40, 231,686.70 and 147,929.80 is: 222,226.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    154,227.40 : 231,686.70 = 147,929.80 : x
  2. Step 2: Convert to fraction form
    154,227.40/231,686.70 = 147,929.80/x
  3. Step 3: Cross multiply
    154,227.40x = 231,686.70 × 147,929.80
  4. Step 4: Simplify right side
    154,227.40x = 34,273,367,193.66
  5. Step 5: Solve for x
    x = 34,273,367,193.66/154,227.40
  6. Step 6: Final answer
    x = 222,226.19

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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.