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Finding the Fourth Proportional to 136,475.80, 204,519.30 and 100,657.60

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Solution

The fourth proportional to 136,475.80, 204,519.30 and 100,657.60 is: 150,843.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    136,475.80 : 204,519.30 = 100,657.60 : x
  2. Step 2: Convert to fraction form
    136,475.80/204,519.30 = 100,657.60/x
  3. Step 3: Cross multiply
    136,475.80x = 204,519.30 × 100,657.60
  4. Step 4: Simplify right side
    136,475.80x = 20,586,421,891.68
  5. Step 5: Solve for x
    x = 20,586,421,891.68/136,475.80
  6. Step 6: Final answer
    x = 150,843.02

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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.