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Finding the Fourth Proportional to 218,972.70, 328,363.05 and 100,604.70

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Solution

The fourth proportional to 218,972.70, 328,363.05 and 100,604.70 is: 150,862.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    218,972.70 : 328,363.05 = 100,604.70 : x
  2. Step 2: Convert to fraction form
    218,972.70/328,363.05 = 100,604.70/x
  3. Step 3: Cross multiply
    218,972.70x = 328,363.05 × 100,604.70
  4. Step 4: Simplify right side
    218,972.70x = 33,034,866,136.34
  5. Step 5: Solve for x
    x = 33,034,866,136.34/218,972.70
  6. Step 6: Final answer
    x = 150,862.94

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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.