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Finding the Fourth Proportional to 106,616.46, 159,923.86 and 43,421.71

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Solution

The fourth proportional to 106,616.46, 159,923.86 and 43,421.71 is: 65,132.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,616.46 : 159,923.86 = 43,421.71 : x
  2. Step 2: Convert to fraction form
    106,616.46/159,923.86 = 43,421.71/x
  3. Step 3: Cross multiply
    106,616.46x = 159,923.86 × 43,421.71
  4. Step 4: Simplify right side
    106,616.46x = 6,944,167,471.00
  5. Step 5: Solve for x
    x = 6,944,167,471.00/106,616.46
  6. Step 6: Final answer
    x = 65,132.23

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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.