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Finding the Fourth Proportional to 267,640.85, 369,349.10 and 146,781.07

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Solution

The fourth proportional to 267,640.85, 369,349.10 and 146,781.07 is: 202,560.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    267,640.85 : 369,349.10 = 146,781.07 : x
  2. Step 2: Convert to fraction form
    267,640.85/369,349.10 = 146,781.07/x
  3. Step 3: Cross multiply
    267,640.85x = 369,349.10 × 146,781.07
  4. Step 4: Simplify right side
    267,640.85x = 54,213,458,210.91
  5. Step 5: Solve for x
    x = 54,213,458,210.91/267,640.85
  6. Step 6: Final answer
    x = 202,560.48

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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.