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Finding the Fourth Proportional to 180,565.47, 270,847.80 and 54,205.56

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Solution

The fourth proportional to 180,565.47, 270,847.80 and 54,205.56 is: 81,308.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,565.47 : 270,847.80 = 54,205.56 : x
  2. Step 2: Convert to fraction form
    180,565.47/270,847.80 = 54,205.56/x
  3. Step 3: Cross multiply
    180,565.47x = 270,847.80 × 54,205.56
  4. Step 4: Simplify right side
    180,565.47x = 14,681,456,673.77
  5. Step 5: Solve for x
    x = 14,681,456,673.77/180,565.47
  6. Step 6: Final answer
    x = 81,308.22

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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.