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Finding the Fourth Proportional to 107,344.80, 161,017.20 and 54,856.80

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Solution

The fourth proportional to 107,344.80, 161,017.20 and 54,856.80 is: 82,285.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,344.80 : 161,017.20 = 54,856.80 : x
  2. Step 2: Convert to fraction form
    107,344.80/161,017.20 = 54,856.80/x
  3. Step 3: Cross multiply
    107,344.80x = 161,017.20 × 54,856.80
  4. Step 4: Simplify right side
    107,344.80x = 8,832,888,336.96
  5. Step 5: Solve for x
    x = 8,832,888,336.96/107,344.80
  6. Step 6: Final answer
    x = 82,285.20

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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.