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Finding the Fourth Proportional to 276,330.38, 381,335.92 and 157,098.38

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Solution

The fourth proportional to 276,330.38, 381,335.92 and 157,098.38 is: 216,795.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    276,330.38 : 381,335.92 = 157,098.38 : x
  2. Step 2: Convert to fraction form
    276,330.38/381,335.92 = 157,098.38/x
  3. Step 3: Cross multiply
    276,330.38x = 381,335.92 × 157,098.38
  4. Step 4: Simplify right side
    276,330.38x = 59,907,252,968.38
  5. Step 5: Solve for x
    x = 59,907,252,968.38/276,330.38
  6. Step 6: Final answer
    x = 216,795.76

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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.