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Finding the Fourth Proportional to 107,233.80, 160,850.70 and 106,542.60

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Solution

The fourth proportional to 107,233.80, 160,850.70 and 106,542.60 is: 159,813.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,233.80 : 160,850.70 = 106,542.60 : x
  2. Step 2: Convert to fraction form
    107,233.80/160,850.70 = 106,542.60/x
  3. Step 3: Cross multiply
    107,233.80x = 160,850.70 × 106,542.60
  4. Step 4: Simplify right side
    107,233.80x = 17,137,451,789.82
  5. Step 5: Solve for x
    x = 17,137,451,789.82/107,233.80
  6. Step 6: Final answer
    x = 159,813.90

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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.