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Finding the Fourth Proportional to 144,108.48, 198,911.52 and 83,692.80

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Solution

The fourth proportional to 144,108.48, 198,911.52 and 83,692.80 is: 115,520.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,108.48 : 198,911.52 = 83,692.80 : x
  2. Step 2: Convert to fraction form
    144,108.48/198,911.52 = 83,692.80/x
  3. Step 3: Cross multiply
    144,108.48x = 198,911.52 × 83,692.80
  4. Step 4: Simplify right side
    144,108.48x = 16,647,462,061.06
  5. Step 5: Solve for x
    x = 16,647,462,061.06/144,108.48
  6. Step 6: Final answer
    x = 115,520.35

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.