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Finding the Fourth Proportional to 276,949.64, 382,192.17 and 154,449.76

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Solution

The fourth proportional to 276,949.64, 382,192.17 and 154,449.76 is: 213,141.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    276,949.64 : 382,192.17 = 154,449.76 : x
  2. Step 2: Convert to fraction form
    276,949.64/382,192.17 = 154,449.76/x
  3. Step 3: Cross multiply
    276,949.64x = 382,192.17 × 154,449.76
  4. Step 4: Simplify right side
    276,949.64x = 59,029,488,930.38
  5. Step 5: Solve for x
    x = 59,029,488,930.38/276,949.64
  6. Step 6: Final answer
    x = 213,141.60

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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.