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Finding the Fourth Proportional to 180,461.28, 270,717.84 and 55,812

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Solution

The fourth proportional to 180,461.28, 270,717.84 and 55,812 is: 83,726.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,461.28 : 270,717.84 = 55,812 : x
  2. Step 2: Convert to fraction form
    180,461.28/270,717.84 = 55,812/x
  3. Step 3: Cross multiply
    180,461.28x = 270,717.84 × 55,812
  4. Step 4: Simplify right side
    180,461.28x = 15,109,304,086.08
  5. Step 5: Solve for x
    x = 15,109,304,086.08/180,461.28
  6. Step 6: Final answer
    x = 83,726.02

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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.