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Finding the Fourth Proportional to 133,906.77, 200,854.89 and 45,158.31

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Solution

The fourth proportional to 133,906.77, 200,854.89 and 45,158.31 is: 67,735.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,906.77 : 200,854.89 = 45,158.31 : x
  2. Step 2: Convert to fraction form
    133,906.77/200,854.89 = 45,158.31/x
  3. Step 3: Cross multiply
    133,906.77x = 200,854.89 × 45,158.31
  4. Step 4: Simplify right side
    133,906.77x = 9,070,267,387.64
  5. Step 5: Solve for x
    x = 9,070,267,387.64/133,906.77
  6. Step 6: Final answer
    x = 67,735.69

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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.