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Finding the Fourth Proportional to 215,792.75, 297,735.56 and 122,657.17

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Solution

The fourth proportional to 215,792.75, 297,735.56 and 122,657.17 is: 169,233.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    215,792.75 : 297,735.56 = 122,657.17 : x
  2. Step 2: Convert to fraction form
    215,792.75/297,735.56 = 122,657.17/x
  3. Step 3: Cross multiply
    215,792.75x = 297,735.56 × 122,657.17
  4. Step 4: Simplify right side
    215,792.75x = 36,519,401,197.97
  5. Step 5: Solve for x
    x = 36,519,401,197.97/215,792.75
  6. Step 6: Final answer
    x = 169,233.68

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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.