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Finding the Fourth Proportional to 140,883.35, 194,438.96 and 87,185.66

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Solution

The fourth proportional to 140,883.35, 194,438.96 and 87,185.66 is: 120,328.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,883.35 : 194,438.96 = 87,185.66 : x
  2. Step 2: Convert to fraction form
    140,883.35/194,438.96 = 87,185.66/x
  3. Step 3: Cross multiply
    140,883.35x = 194,438.96 × 87,185.66
  4. Step 4: Simplify right side
    140,883.35x = 16,952,289,761.38
  5. Step 5: Solve for x
    x = 16,952,289,761.38/140,883.35
  6. Step 6: Final answer
    x = 120,328.55

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.