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Finding the Fourth Proportional to 193,233.96, 289,792.62 and 114,327

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Solution

The fourth proportional to 193,233.96, 289,792.62 and 114,327 is: 171,455.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    193,233.96 : 289,792.62 = 114,327 : x
  2. Step 2: Convert to fraction form
    193,233.96/289,792.62 = 114,327/x
  3. Step 3: Cross multiply
    193,233.96x = 289,792.62 × 114,327
  4. Step 4: Simplify right side
    193,233.96x = 33,131,120,866.74
  5. Step 5: Solve for x
    x = 33,131,120,866.74/193,233.96
  6. Step 6: Final answer
    x = 171,455.99

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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.