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Finding the Fourth Proportional to 121,982.80, 182,887.80 and 55,454.80

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Solution

The fourth proportional to 121,982.80, 182,887.80 and 55,454.80 is: 83,142.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    121,982.80 : 182,887.80 = 55,454.80 : x
  2. Step 2: Convert to fraction form
    121,982.80/182,887.80 = 55,454.80/x
  3. Step 3: Cross multiply
    121,982.80x = 182,887.80 × 55,454.80
  4. Step 4: Simplify right side
    121,982.80x = 10,142,006,371.44
  5. Step 5: Solve for x
    x = 10,142,006,371.44/121,982.80
  6. Step 6: Final answer
    x = 83,142.92

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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.