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Finding the Fourth Proportional to 106,616.12, 160,020.90 and 56,738.21

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Solution

The fourth proportional to 106,616.12, 160,020.90 and 56,738.21 is: 85,158.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,616.12 : 160,020.90 = 56,738.21 : x
  2. Step 2: Convert to fraction form
    106,616.12/160,020.90 = 56,738.21/x
  3. Step 3: Cross multiply
    106,616.12x = 160,020.90 × 56,738.21
  4. Step 4: Simplify right side
    106,616.12x = 9,079,298,628.48
  5. Step 5: Solve for x
    x = 9,079,298,628.48/106,616.12
  6. Step 6: Final answer
    x = 85,158.78

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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.