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Finding the Fourth Proportional to 138,207.84, 207,180.36 and 54,021.96

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Solution

The fourth proportional to 138,207.84, 207,180.36 and 54,021.96 is: 80,981.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,207.84 : 207,180.36 = 54,021.96 : x
  2. Step 2: Convert to fraction form
    138,207.84/207,180.36 = 54,021.96/x
  3. Step 3: Cross multiply
    138,207.84x = 207,180.36 × 54,021.96
  4. Step 4: Simplify right side
    138,207.84x = 11,192,289,120.71
  5. Step 5: Solve for x
    x = 11,192,289,120.71/138,207.84
  6. Step 6: Final answer
    x = 80,981.58

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.