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Finding the Fourth Proportional to 106,149.81, 159,226.29 and 27,262.29

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Solution

The fourth proportional to 106,149.81, 159,226.29 and 27,262.29 is: 40,893.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,149.81 : 159,226.29 = 27,262.29 : x
  2. Step 2: Convert to fraction form
    106,149.81/159,226.29 = 27,262.29/x
  3. Step 3: Cross multiply
    106,149.81x = 159,226.29 × 27,262.29
  4. Step 4: Simplify right side
    106,149.81x = 4,340,873,293.60
  5. Step 5: Solve for x
    x = 4,340,873,293.60/106,149.81
  6. Step 6: Final answer
    x = 40,893.84

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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.