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Finding the Fourth Proportional to 154,414.60, 231,621.90 and 65,645.80

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Solution

The fourth proportional to 154,414.60, 231,621.90 and 65,645.80 is: 98,468.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    154,414.60 : 231,621.90 = 65,645.80 : x
  2. Step 2: Convert to fraction form
    154,414.60/231,621.90 = 65,645.80/x
  3. Step 3: Cross multiply
    154,414.60x = 231,621.90 × 65,645.80
  4. Step 4: Simplify right side
    154,414.60x = 15,205,004,923.02
  5. Step 5: Solve for x
    x = 15,205,004,923.02/154,414.60
  6. Step 6: Final answer
    x = 98,468.70

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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.