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Finding the Fourth Proportional to 208,069.20, 312,103.80 and 194,947.20

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Solution

The fourth proportional to 208,069.20, 312,103.80 and 194,947.20 is: 292,420.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,069.20 : 312,103.80 = 194,947.20 : x
  2. Step 2: Convert to fraction form
    208,069.20/312,103.80 = 194,947.20/x
  3. Step 3: Cross multiply
    208,069.20x = 312,103.80 × 194,947.20
  4. Step 4: Simplify right side
    208,069.20x = 60,843,761,919.36
  5. Step 5: Solve for x
    x = 60,843,761,919.36/208,069.20
  6. Step 6: Final answer
    x = 292,420.80

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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.