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Finding the Fourth Proportional to 198,027.76, 297,119.40 and 87,142

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Solution

The fourth proportional to 198,027.76, 297,119.40 and 87,142 is: 130,747.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    198,027.76 : 297,119.40 = 87,142 : x
  2. Step 2: Convert to fraction form
    198,027.76/297,119.40 = 87,142/x
  3. Step 3: Cross multiply
    198,027.76x = 297,119.40 × 87,142
  4. Step 4: Simplify right side
    198,027.76x = 25,891,578,754.80
  5. Step 5: Solve for x
    x = 25,891,578,754.80/198,027.76
  6. Step 6: Final answer
    x = 130,747.22

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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.