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Finding the Fourth Proportional to 262,807.60, 394,211.40 and 105,149.20

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Solution

The fourth proportional to 262,807.60, 394,211.40 and 105,149.20 is: 157,723.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    262,807.60 : 394,211.40 = 105,149.20 : x
  2. Step 2: Convert to fraction form
    262,807.60/394,211.40 = 105,149.20/x
  3. Step 3: Cross multiply
    262,807.60x = 394,211.40 × 105,149.20
  4. Step 4: Simplify right side
    262,807.60x = 41,451,013,340.88
  5. Step 5: Solve for x
    x = 41,451,013,340.88/262,807.60
  6. Step 6: Final answer
    x = 157,723.80

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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.