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Finding the Fourth Proportional to 107,998.88, 161,981.89 and 41,470.34

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Solution

The fourth proportional to 107,998.88, 161,981.89 and 41,470.34 is: 62,199.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,998.88 : 161,981.89 = 41,470.34 : x
  2. Step 2: Convert to fraction form
    107,998.88/161,981.89 = 41,470.34/x
  3. Step 3: Cross multiply
    107,998.88x = 161,981.89 × 41,470.34
  4. Step 4: Simplify right side
    107,998.88x = 6,717,443,138.56
  5. Step 5: Solve for x
    x = 6,717,443,138.56/107,998.88
  6. Step 6: Final answer
    x = 62,199.20

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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.