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Finding the Fourth Proportional to 205,375.90, 283,408.57 and 114,713.82

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Solution

The fourth proportional to 205,375.90, 283,408.57 and 114,713.82 is: 158,299.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,375.90 : 283,408.57 = 114,713.82 : x
  2. Step 2: Convert to fraction form
    205,375.90/283,408.57 = 114,713.82/x
  3. Step 3: Cross multiply
    205,375.90x = 283,408.57 × 114,713.82
  4. Step 4: Simplify right side
    205,375.90x = 32,510,877,981.61
  5. Step 5: Solve for x
    x = 32,510,877,981.61/205,375.90
  6. Step 6: Final answer
    x = 158,299.38

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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.