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Finding the Fourth Proportional to 208,947.20, 313,471.20 and 68,698.40

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Solution

The fourth proportional to 208,947.20, 313,471.20 and 68,698.40 is: 103,064.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,947.20 : 313,471.20 = 68,698.40 : x
  2. Step 2: Convert to fraction form
    208,947.20/313,471.20 = 68,698.40/x
  3. Step 3: Cross multiply
    208,947.20x = 313,471.20 × 68,698.40
  4. Step 4: Simplify right side
    208,947.20x = 21,534,969,886.08
  5. Step 5: Solve for x
    x = 21,534,969,886.08/208,947.20
  6. Step 6: Final answer
    x = 103,064.17

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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.