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Finding the Fourth Proportional to 215,915.73, 297,963.68 and 120,420.38

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Solution

The fourth proportional to 215,915.73, 297,963.68 and 120,420.38 is: 166,180.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    215,915.73 : 297,963.68 = 120,420.38 : x
  2. Step 2: Convert to fraction form
    215,915.73/297,963.68 = 120,420.38/x
  3. Step 3: Cross multiply
    215,915.73x = 297,963.68 × 120,420.38
  4. Step 4: Simplify right side
    215,915.73x = 35,880,897,479.88
  5. Step 5: Solve for x
    x = 35,880,897,479.88/215,915.73
  6. Step 6: Final answer
    x = 166,180.10

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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.