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Finding the Fourth Proportional to 205,498.96, 283,404.29 and 171,157.69

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Solution

The fourth proportional to 205,498.96, 283,404.29 and 171,157.69 is: 236,044.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,498.96 : 283,404.29 = 171,157.69 : x
  2. Step 2: Convert to fraction form
    205,498.96/283,404.29 = 171,157.69/x
  3. Step 3: Cross multiply
    205,498.96x = 283,404.29 × 171,157.69
  4. Step 4: Simplify right side
    205,498.96x = 48,506,823,110.96
  5. Step 5: Solve for x
    x = 48,506,823,110.96/205,498.96
  6. Step 6: Final answer
    x = 236,044.13

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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.