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Finding the Fourth Proportional to 106,983.30, 160,414.20 and 40,425.60

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Solution

The fourth proportional to 106,983.30, 160,414.20 and 40,425.60 is: 60,615.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,983.30 : 160,414.20 = 40,425.60 : x
  2. Step 2: Convert to fraction form
    106,983.30/160,414.20 = 40,425.60/x
  3. Step 3: Cross multiply
    106,983.30x = 160,414.20 × 40,425.60
  4. Step 4: Simplify right side
    106,983.30x = 6,484,840,283.52
  5. Step 5: Solve for x
    x = 6,484,840,283.52/106,983.30
  6. Step 6: Final answer
    x = 60,615.44

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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.