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Finding the Fourth Proportional to 132,773.76, 199,190.16 and 57,906

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Solution

The fourth proportional to 132,773.76, 199,190.16 and 57,906 is: 86,871.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,773.76 : 199,190.16 = 57,906 : x
  2. Step 2: Convert to fraction form
    132,773.76/199,190.16 = 57,906/x
  3. Step 3: Cross multiply
    132,773.76x = 199,190.16 × 57,906
  4. Step 4: Simplify right side
    132,773.76x = 11,534,305,404.96
  5. Step 5: Solve for x
    x = 11,534,305,404.96/132,773.76
  6. Step 6: Final answer
    x = 86,871.87

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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.