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Finding the Fourth Proportional to 208,532.78, 287,772.19 and 117,885.73

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Solution

The fourth proportional to 208,532.78, 287,772.19 and 117,885.73 is: 162,680.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,532.78 : 287,772.19 = 117,885.73 : x
  2. Step 2: Convert to fraction form
    208,532.78/287,772.19 = 117,885.73/x
  3. Step 3: Cross multiply
    208,532.78x = 287,772.19 × 117,885.73
  4. Step 4: Simplify right side
    208,532.78x = 33,924,234,880.38
  5. Step 5: Solve for x
    x = 33,924,234,880.38/208,532.78
  6. Step 6: Final answer
    x = 162,680.59

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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.