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Finding the Fourth Proportional to 106,449.68, 159,671.06 and 43,251.12

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Solution

The fourth proportional to 106,449.68, 159,671.06 and 43,251.12 is: 64,875.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,449.68 : 159,671.06 = 43,251.12 : x
  2. Step 2: Convert to fraction form
    106,449.68/159,671.06 = 43,251.12/x
  3. Step 3: Cross multiply
    106,449.68x = 159,671.06 × 43,251.12
  4. Step 4: Simplify right side
    106,449.68x = 6,905,952,176.59
  5. Step 5: Solve for x
    x = 6,905,952,176.59/106,449.68
  6. Step 6: Final answer
    x = 64,875.27

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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.