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Finding the Fourth Proportional to 164,414.10, 246,621.15 and 75,840.60

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Solution

The fourth proportional to 164,414.10, 246,621.15 and 75,840.60 is: 113,760.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,414.10 : 246,621.15 = 75,840.60 : x
  2. Step 2: Convert to fraction form
    164,414.10/246,621.15 = 75,840.60/x
  3. Step 3: Cross multiply
    164,414.10x = 246,621.15 × 75,840.60
  4. Step 4: Simplify right side
    164,414.10x = 18,703,895,988.69
  5. Step 5: Solve for x
    x = 18,703,895,988.69/164,414.10
  6. Step 6: Final answer
    x = 113,760.90

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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.