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Finding the Fourth Proportional to 133,695.60, 200,446.20 and 54,769.20

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Solution

The fourth proportional to 133,695.60, 200,446.20 and 54,769.20 is: 82,113.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,695.60 : 200,446.20 = 54,769.20 : x
  2. Step 2: Convert to fraction form
    133,695.60/200,446.20 = 54,769.20/x
  3. Step 3: Cross multiply
    133,695.60x = 200,446.20 × 54,769.20
  4. Step 4: Simplify right side
    133,695.60x = 10,978,278,017.04
  5. Step 5: Solve for x
    x = 10,978,278,017.04/133,695.60
  6. Step 6: Final answer
    x = 82,113.98

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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.