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Finding the Fourth Proportional to 208,829.20, 313,243.80 and 75,713.80

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Solution

The fourth proportional to 208,829.20, 313,243.80 and 75,713.80 is: 113,570.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,829.20 : 313,243.80 = 75,713.80 : x
  2. Step 2: Convert to fraction form
    208,829.20/313,243.80 = 75,713.80/x
  3. Step 3: Cross multiply
    208,829.20x = 313,243.80 × 75,713.80
  4. Step 4: Simplify right side
    208,829.20x = 23,716,878,424.44
  5. Step 5: Solve for x
    x = 23,716,878,424.44/208,829.20
  6. Step 6: Final answer
    x = 113,570.70

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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.