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Finding the Fourth Proportional to 106,155.92, 146,551.56 and 82,228.88

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Solution

The fourth proportional to 106,155.92, 146,551.56 and 82,228.88 is: 113,519.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,155.92 : 146,551.56 = 82,228.88 : x
  2. Step 2: Convert to fraction form
    106,155.92/146,551.56 = 82,228.88/x
  3. Step 3: Cross multiply
    106,155.92x = 146,551.56 × 82,228.88
  4. Step 4: Simplify right side
    106,155.92x = 12,050,770,641.05
  5. Step 5: Solve for x
    x = 12,050,770,641.05/106,155.92
  6. Step 6: Final answer
    x = 113,519.53

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.