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Finding the Fourth Proportional to 276,892.68, 382,112.07 and 149,568.30

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Solution

The fourth proportional to 276,892.68, 382,112.07 and 149,568.30 is: 206,404.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    276,892.68 : 382,112.07 = 149,568.30 : x
  2. Step 2: Convert to fraction form
    276,892.68/382,112.07 = 149,568.30/x
  3. Step 3: Cross multiply
    276,892.68x = 382,112.07 × 149,568.30
  4. Step 4: Simplify right side
    276,892.68x = 57,151,852,719.38
  5. Step 5: Solve for x
    x = 57,151,852,719.38/276,892.68
  6. Step 6: Final answer
    x = 206,404.35

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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.