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Finding the Fourth Proportional to 133,076.10, 199,614.15 and 83,471.70

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Solution

The fourth proportional to 133,076.10, 199,614.15 and 83,471.70 is: 125,207.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,076.10 : 199,614.15 = 83,471.70 : x
  2. Step 2: Convert to fraction form
    133,076.10/199,614.15 = 83,471.70/x
  3. Step 3: Cross multiply
    133,076.10x = 199,614.15 × 83,471.70
  4. Step 4: Simplify right side
    133,076.10x = 16,662,132,444.56
  5. Step 5: Solve for x
    x = 16,662,132,444.56/133,076.10
  6. Step 6: Final answer
    x = 125,207.55

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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.