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Finding the Fourth Proportional to 205,372.86, 283,230.34 and 171,031.29

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Solution

The fourth proportional to 205,372.86, 283,230.34 and 171,031.29 is: 235,869.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,372.86 : 283,230.34 = 171,031.29 : x
  2. Step 2: Convert to fraction form
    205,372.86/283,230.34 = 171,031.29/x
  3. Step 3: Cross multiply
    205,372.86x = 283,230.34 × 171,031.29
  4. Step 4: Simplify right side
    205,372.86x = 48,441,250,417.34
  5. Step 5: Solve for x
    x = 48,441,250,417.34/205,372.86
  6. Step 6: Final answer
    x = 235,869.78

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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.