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Finding the Fourth Proportional to 277,298.73, 382,672.24 and 149,974.31

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Solution

The fourth proportional to 277,298.73, 382,672.24 and 149,974.31 is: 206,964.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,298.73 : 382,672.24 = 149,974.31 : x
  2. Step 2: Convert to fraction form
    277,298.73/382,672.24 = 149,974.31/x
  3. Step 3: Cross multiply
    277,298.73x = 382,672.24 × 149,974.31
  4. Step 4: Simplify right side
    277,298.73x = 57,391,005,731.90
  5. Step 5: Solve for x
    x = 57,391,005,731.90/277,298.73
  6. Step 6: Final answer
    x = 206,964.55

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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.