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Finding the Fourth Proportional to 144,958.50, 217,585.17 and 99,982.98

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Solution

The fourth proportional to 144,958.50, 217,585.17 and 99,982.98 is: 150,076.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,958.50 : 217,585.17 = 99,982.98 : x
  2. Step 2: Convert to fraction form
    144,958.50/217,585.17 = 99,982.98/x
  3. Step 3: Cross multiply
    144,958.50x = 217,585.17 × 99,982.98
  4. Step 4: Simplify right side
    144,958.50x = 21,754,813,700.41
  5. Step 5: Solve for x
    x = 21,754,813,700.41/144,958.50
  6. Step 6: Final answer
    x = 150,076.15

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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.