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Finding the Fourth Proportional to 178,757.28, 268,248.92 and 99,923.22

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Solution

The fourth proportional to 178,757.28, 268,248.92 and 99,923.22 is: 149,947.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,757.28 : 268,248.92 = 99,923.22 : x
  2. Step 2: Convert to fraction form
    178,757.28/268,248.92 = 99,923.22/x
  3. Step 3: Cross multiply
    178,757.28x = 268,248.92 × 99,923.22
  4. Step 4: Simplify right side
    178,757.28x = 26,804,295,348.31
  5. Step 5: Solve for x
    x = 26,804,295,348.31/178,757.28
  6. Step 6: Final answer
    x = 149,947.99

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.