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Finding the Fourth Proportional to 133,708.20, 200,427.24 and 83,823.30

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Solution

The fourth proportional to 133,708.20, 200,427.24 and 83,823.30 is: 125,650.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,708.20 : 200,427.24 = 83,823.30 : x
  2. Step 2: Convert to fraction form
    133,708.20/200,427.24 = 83,823.30/x
  3. Step 3: Cross multiply
    133,708.20x = 200,427.24 × 83,823.30
  4. Step 4: Simplify right side
    133,708.20x = 16,800,472,666.69
  5. Step 5: Solve for x
    x = 16,800,472,666.69/133,708.20
  6. Step 6: Final answer
    x = 125,650.28

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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.