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Finding the Fourth Proportional to 203,589.48, 280,954.20 and 112,947.24

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Solution

The fourth proportional to 203,589.48, 280,954.20 and 112,947.24 is: 155,867.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,589.48 : 280,954.20 = 112,947.24 : x
  2. Step 2: Convert to fraction form
    203,589.48/280,954.20 = 112,947.24/x
  3. Step 3: Cross multiply
    203,589.48x = 280,954.20 × 112,947.24
  4. Step 4: Simplify right side
    203,589.48x = 31,733,001,456.41
  5. Step 5: Solve for x
    x = 31,733,001,456.41/203,589.48
  6. Step 6: Final answer
    x = 155,867.59

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1.5x scale

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.