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Finding the Fourth Proportional to 80,461.60, 120,692.40 and 77,048.80

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Solution

The fourth proportional to 80,461.60, 120,692.40 and 77,048.80 is: 115,573.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,461.60 : 120,692.40 = 77,048.80 : x
  2. Step 2: Convert to fraction form
    80,461.60/120,692.40 = 77,048.80/x
  3. Step 3: Cross multiply
    80,461.60x = 120,692.40 × 77,048.80
  4. Step 4: Simplify right side
    80,461.60x = 9,299,204,589.12
  5. Step 5: Solve for x
    x = 9,299,204,589.12/80,461.60
  6. Step 6: Final answer
    x = 115,573.20

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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.