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Finding the Fourth Proportional to 121,963.60, 182,945.40 and 80,108.20

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Solution

The fourth proportional to 121,963.60, 182,945.40 and 80,108.20 is: 120,162.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    121,963.60 : 182,945.40 = 80,108.20 : x
  2. Step 2: Convert to fraction form
    121,963.60/182,945.40 = 80,108.20/x
  3. Step 3: Cross multiply
    121,963.60x = 182,945.40 × 80,108.20
  4. Step 4: Simplify right side
    121,963.60x = 14,655,426,692.28
  5. Step 5: Solve for x
    x = 14,655,426,692.28/121,963.60
  6. Step 6: Final answer
    x = 120,162.30

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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.