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Finding the Fourth Proportional to 205,640, 283,781.23 and 114,994.92

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Solution

The fourth proportional to 205,640, 283,781.23 and 114,994.92 is: 158,691.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,640 : 283,781.23 = 114,994.92 : x
  2. Step 2: Convert to fraction form
    205,640/283,781.23 = 114,994.92/x
  3. Step 3: Cross multiply
    205,640x = 283,781.23 × 114,994.92
  4. Step 4: Simplify right side
    205,640x = 32,633,399,841.35
  5. Step 5: Solve for x
    x = 32,633,399,841.35/205,640
  6. Step 6: Final answer
    x = 158,691.89

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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.