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Finding the Fourth Proportional to 267,446.80, 369,079.50 and 146,585.44

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Solution

The fourth proportional to 267,446.80, 369,079.50 and 146,585.44 is: 202,289.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    267,446.80 : 369,079.50 = 146,585.44 : x
  2. Step 2: Convert to fraction form
    267,446.80/369,079.50 = 146,585.44/x
  3. Step 3: Cross multiply
    267,446.80x = 369,079.50 × 146,585.44
  4. Step 4: Simplify right side
    267,446.80x = 54,101,680,902.48
  5. Step 5: Solve for x
    x = 54,101,680,902.48/267,446.80
  6. Step 6: Final answer
    x = 202,289.51

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.