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Finding the Fourth Proportional to 235,882.17, 353,671.38 and 171,863.82

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Solution

The fourth proportional to 235,882.17, 353,671.38 and 171,863.82 is: 257,685.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    235,882.17 : 353,671.38 = 171,863.82 : x
  2. Step 2: Convert to fraction form
    235,882.17/353,671.38 = 171,863.82/x
  3. Step 3: Cross multiply
    235,882.17x = 353,671.38 × 171,863.82
  4. Step 4: Simplify right side
    235,882.17x = 60,783,314,391.47
  5. Step 5: Solve for x
    x = 60,783,314,391.47/235,882.17
  6. Step 6: Final answer
    x = 257,685.07

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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.