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Finding the Fourth Proportional to 276,813.76, 382,002.98 and 149,489.34

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Solution

The fourth proportional to 276,813.76, 382,002.98 and 149,489.34 is: 206,295.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    276,813.76 : 382,002.98 = 149,489.34 : x
  2. Step 2: Convert to fraction form
    276,813.76/382,002.98 = 149,489.34/x
  3. Step 3: Cross multiply
    276,813.76x = 382,002.98 × 149,489.34
  4. Step 4: Simplify right side
    276,813.76x = 57,105,373,358.23
  5. Step 5: Solve for x
    x = 57,105,373,358.23/276,813.76
  6. Step 6: Final answer
    x = 206,295.28

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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.