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Finding the Fourth Proportional to 180,562.80, 270,947.91 and 141,008.88

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Solution

The fourth proportional to 180,562.80, 270,947.91 and 141,008.88 is: 211,594.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,562.80 : 270,947.91 = 141,008.88 : x
  2. Step 2: Convert to fraction form
    180,562.80/270,947.91 = 141,008.88/x
  3. Step 3: Cross multiply
    180,562.80x = 270,947.91 × 141,008.88
  4. Step 4: Simplify right side
    180,562.80x = 38,206,061,327.44
  5. Step 5: Solve for x
    x = 38,206,061,327.44/180,562.80
  6. Step 6: Final answer
    x = 211,594.31

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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.