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Finding the Fourth Proportional to 80,467.60, 120,701.40 and 77,054.80

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Solution

The fourth proportional to 80,467.60, 120,701.40 and 77,054.80 is: 115,582.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,467.60 : 120,701.40 = 77,054.80 : x
  2. Step 2: Convert to fraction form
    80,467.60/120,701.40 = 77,054.80/x
  3. Step 3: Cross multiply
    80,467.60x = 120,701.40 × 77,054.80
  4. Step 4: Simplify right side
    80,467.60x = 9,300,622,236.72
  5. Step 5: Solve for x
    x = 9,300,622,236.72/80,467.60
  6. Step 6: Final answer
    x = 115,582.20

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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.