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Finding the Fourth Proportional to 192,404.48, 288,607.04 and 80,083.20

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Solution

The fourth proportional to 192,404.48, 288,607.04 and 80,083.20 is: 120,124.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    192,404.48 : 288,607.04 = 80,083.20 : x
  2. Step 2: Convert to fraction form
    192,404.48/288,607.04 = 80,083.20/x
  3. Step 3: Cross multiply
    192,404.48x = 288,607.04 × 80,083.20
  4. Step 4: Simplify right side
    192,404.48x = 23,112,575,305.73
  5. Step 5: Solve for x
    x = 23,112,575,305.73/192,404.48
  6. Step 6: Final answer
    x = 120,124.93

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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.