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Finding the Fourth Proportional to 218,844.96, 328,283.52 and 78,604.80

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Solution

The fourth proportional to 218,844.96, 328,283.52 and 78,604.80 is: 117,912.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    218,844.96 : 328,283.52 = 78,604.80 : x
  2. Step 2: Convert to fraction form
    218,844.96/328,283.52 = 78,604.80/x
  3. Step 3: Cross multiply
    218,844.96x = 328,283.52 × 78,604.80
  4. Step 4: Simplify right side
    218,844.96x = 25,804,660,432.90
  5. Step 5: Solve for x
    x = 25,804,660,432.90/218,844.96
  6. Step 6: Final answer
    x = 117,912.98

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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.