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Finding the Fourth Proportional to 208,819.20, 313,228.80 and 75,703.80

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Solution

The fourth proportional to 208,819.20, 313,228.80 and 75,703.80 is: 113,555.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,819.20 : 313,228.80 = 75,703.80 : x
  2. Step 2: Convert to fraction form
    208,819.20/313,228.80 = 75,703.80/x
  3. Step 3: Cross multiply
    208,819.20x = 313,228.80 × 75,703.80
  4. Step 4: Simplify right side
    208,819.20x = 23,712,610,429.44
  5. Step 5: Solve for x
    x = 23,712,610,429.44/208,819.20
  6. Step 6: Final answer
    x = 113,555.70

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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.