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Finding the Fourth Proportional to 218,822.40, 328,363.20 and 159,508.80

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Solution

The fourth proportional to 218,822.40, 328,363.20 and 159,508.80 is: 239,357.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    218,822.40 : 328,363.20 = 159,508.80 : x
  2. Step 2: Convert to fraction form
    218,822.40/328,363.20 = 159,508.80/x
  3. Step 3: Cross multiply
    218,822.40x = 328,363.20 × 159,508.80
  4. Step 4: Simplify right side
    218,822.40x = 52,376,819,996.16
  5. Step 5: Solve for x
    x = 52,376,819,996.16/218,822.40
  6. Step 6: Final answer
    x = 239,357.67

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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.