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Finding the Fourth Proportional to 270,689.28, 373,551.92 and 149,838.90

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Solution

The fourth proportional to 270,689.28, 373,551.92 and 149,838.90 is: 206,778.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    270,689.28 : 373,551.92 = 149,838.90 : x
  2. Step 2: Convert to fraction form
    270,689.28/373,551.92 = 149,838.90/x
  3. Step 3: Cross multiply
    270,689.28x = 373,551.92 × 149,838.90
  4. Step 4: Simplify right side
    270,689.28x = 55,972,608,785.69
  5. Step 5: Solve for x
    x = 55,972,608,785.69/270,689.28
  6. Step 6: Final answer
    x = 206,778.08

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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.