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Finding the Fourth Proportional to 86,414.20, 129,621.30 and 77,228.80

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Solution

The fourth proportional to 86,414.20, 129,621.30 and 77,228.80 is: 115,843.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,414.20 : 129,621.30 = 77,228.80 : x
  2. Step 2: Convert to fraction form
    86,414.20/129,621.30 = 77,228.80/x
  3. Step 3: Cross multiply
    86,414.20x = 129,621.30 × 77,228.80
  4. Step 4: Simplify right side
    86,414.20x = 10,010,497,453.44
  5. Step 5: Solve for x
    x = 10,010,497,453.44/86,414.20
  6. Step 6: Final answer
    x = 115,843.20

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1.5x scale

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.