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Finding the Fourth Proportional to 205,234.88, 283,221.44 and 114,592.39

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Solution

The fourth proportional to 205,234.88, 283,221.44 and 114,592.39 is: 158,135.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,234.88 : 283,221.44 = 114,592.39 : x
  2. Step 2: Convert to fraction form
    205,234.88/283,221.44 = 114,592.39/x
  3. Step 3: Cross multiply
    205,234.88x = 283,221.44 × 114,592.39
  4. Step 4: Simplify right side
    205,234.88x = 32,455,020,292.73
  5. Step 5: Solve for x
    x = 32,455,020,292.73/205,234.88
  6. Step 6: Final answer
    x = 158,135.99

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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.