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Finding the Fourth Proportional to 180,251.24, 270,380.52 and 55,592.24

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Solution

The fourth proportional to 180,251.24, 270,380.52 and 55,592.24 is: 83,389.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,251.24 : 270,380.52 = 55,592.24 : x
  2. Step 2: Convert to fraction form
    180,251.24/270,380.52 = 55,592.24/x
  3. Step 3: Cross multiply
    180,251.24x = 270,380.52 × 55,592.24
  4. Step 4: Simplify right side
    180,251.24x = 15,031,058,759.16
  5. Step 5: Solve for x
    x = 15,031,058,759.16/180,251.24
  6. Step 6: Final answer
    x = 83,389.49

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