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Finding the Fourth Proportional to 208,834.80, 313,252.20 and 96,514.80

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Solution

The fourth proportional to 208,834.80, 313,252.20 and 96,514.80 is: 144,772.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,834.80 : 313,252.20 = 96,514.80 : x
  2. Step 2: Convert to fraction form
    208,834.80/313,252.20 = 96,514.80/x
  3. Step 3: Cross multiply
    208,834.80x = 313,252.20 × 96,514.80
  4. Step 4: Simplify right side
    208,834.80x = 30,233,473,432.56
  5. Step 5: Solve for x
    x = 30,233,473,432.56/208,834.80
  6. Step 6: Final answer
    x = 144,772.20

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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.