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Finding the Fourth Proportional to 276,882.09, 382,097.45 and 149,557.70

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Solution

The fourth proportional to 276,882.09, 382,097.45 and 149,557.70 is: 206,389.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    276,882.09 : 382,097.45 = 149,557.70 : x
  2. Step 2: Convert to fraction form
    276,882.09/382,097.45 = 149,557.70/x
  3. Step 3: Cross multiply
    276,882.09x = 382,097.45 × 149,557.70
  4. Step 4: Simplify right side
    276,882.09x = 57,145,613,139.59
  5. Step 5: Solve for x
    x = 57,145,613,139.59/276,882.09
  6. Step 6: Final answer
    x = 206,389.71

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