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Finding the Fourth Proportional to 208,862.80, 313,294.20 and 96,542.80

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Solution

The fourth proportional to 208,862.80, 313,294.20 and 96,542.80 is: 144,814.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,862.80 : 313,294.20 = 96,542.80 : x
  2. Step 2: Convert to fraction form
    208,862.80/313,294.20 = 96,542.80/x
  3. Step 3: Cross multiply
    208,862.80x = 313,294.20 × 96,542.80
  4. Step 4: Simplify right side
    208,862.80x = 30,246,299,291.76
  5. Step 5: Solve for x
    x = 30,246,299,291.76/208,862.80
  6. Step 6: Final answer
    x = 144,814.20

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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.