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Finding the Fourth Proportional to 203,996.61, 306,046.82 and 119,827.95

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Solution

The fourth proportional to 203,996.61, 306,046.82 and 119,827.95 is: 179,772.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,996.61 : 306,046.82 = 119,827.95 : x
  2. Step 2: Convert to fraction form
    203,996.61/306,046.82 = 119,827.95/x
  3. Step 3: Cross multiply
    203,996.61x = 306,046.82 × 119,827.95
  4. Step 4: Simplify right side
    203,996.61x = 36,672,962,818.17
  5. Step 5: Solve for x
    x = 36,672,962,818.17/203,996.61
  6. Step 6: Final answer
    x = 179,772.41

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.