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Finding the Fourth Proportional to 106,213.60, 159,327.60 and 36,098.20

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Solution

The fourth proportional to 106,213.60, 159,327.60 and 36,098.20 is: 54,149.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,213.60 : 159,327.60 = 36,098.20 : x
  2. Step 2: Convert to fraction form
    106,213.60/159,327.60 = 36,098.20/x
  3. Step 3: Cross multiply
    106,213.60x = 159,327.60 × 36,098.20
  4. Step 4: Simplify right side
    106,213.60x = 5,751,439,570.32
  5. Step 5: Solve for x
    x = 5,751,439,570.32/106,213.60
  6. Step 6: Final answer
    x = 54,149.75

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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.