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Finding the Fourth Proportional to 209,263.38, 313,959.87 and 72,498.12

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Solution

The fourth proportional to 209,263.38, 313,959.87 and 72,498.12 is: 108,769.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,263.38 : 313,959.87 = 72,498.12 : x
  2. Step 2: Convert to fraction form
    209,263.38/313,959.87 = 72,498.12/x
  3. Step 3: Cross multiply
    209,263.38x = 313,959.87 × 72,498.12
  4. Step 4: Simplify right side
    209,263.38x = 22,761,500,330.44
  5. Step 5: Solve for x
    x = 22,761,500,330.44/209,263.38
  6. Step 6: Final answer
    x = 108,769.63

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.