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Finding the Fourth Proportional to 127,561.56, 175,976.06 and 82,254.08

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Solution

The fourth proportional to 127,561.56, 175,976.06 and 82,254.08 is: 113,472.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    127,561.56 : 175,976.06 = 82,254.08 : x
  2. Step 2: Convert to fraction form
    127,561.56/175,976.06 = 82,254.08/x
  3. Step 3: Cross multiply
    127,561.56x = 175,976.06 × 82,254.08
  4. Step 4: Simplify right side
    127,561.56x = 14,474,747,626.17
  5. Step 5: Solve for x
    x = 14,474,747,626.17/127,561.56
  6. Step 6: Final answer
    x = 113,472.65

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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.