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Finding the Fourth Proportional to 180,061.28, 270,049.92 and 53,689.92

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Solution

The fourth proportional to 180,061.28, 270,049.92 and 53,689.92 is: 80,522.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,061.28 : 270,049.92 = 53,689.92 : x
  2. Step 2: Convert to fraction form
    180,061.28/270,049.92 = 53,689.92/x
  3. Step 3: Cross multiply
    180,061.28x = 270,049.92 × 53,689.92
  4. Step 4: Simplify right side
    180,061.28x = 14,498,958,600.81
  5. Step 5: Solve for x
    x = 14,498,958,600.81/180,061.28
  6. Step 6: Final answer
    x = 80,522.36

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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.