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Finding the Fourth Proportional to 132,601.38, 198,956.33 and 57,682.86

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Solution

The fourth proportional to 132,601.38, 198,956.33 and 57,682.86 is: 86,547.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,601.38 : 198,956.33 = 57,682.86 : x
  2. Step 2: Convert to fraction form
    132,601.38/198,956.33 = 57,682.86/x
  3. Step 3: Cross multiply
    132,601.38x = 198,956.33 × 57,682.86
  4. Step 4: Simplify right side
    132,601.38x = 11,476,370,129.50
  5. Step 5: Solve for x
    x = 11,476,370,129.50/132,601.38
  6. Step 6: Final answer
    x = 86,547.89

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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.