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Finding the Fourth Proportional to 106,165.92, 159,254.46 and 27,280.68

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Solution

The fourth proportional to 106,165.92, 159,254.46 and 27,280.68 is: 40,922.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,165.92 : 159,254.46 = 27,280.68 : x
  2. Step 2: Convert to fraction form
    106,165.92/159,254.46 = 27,280.68/x
  3. Step 3: Cross multiply
    106,165.92x = 159,254.46 × 27,280.68
  4. Step 4: Simplify right side
    106,165.92x = 4,344,569,961.83
  5. Step 5: Solve for x
    x = 4,344,569,961.83/106,165.92
  6. Step 6: Final answer
    x = 40,922.45

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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.