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Finding the Fourth Proportional to 164,615.10, 246,959.10 and 75,847.20

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Solution

The fourth proportional to 164,615.10, 246,959.10 and 75,847.20 is: 113,787.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,615.10 : 246,959.10 = 75,847.20 : x
  2. Step 2: Convert to fraction form
    164,615.10/246,959.10 = 75,847.20/x
  3. Step 3: Cross multiply
    164,615.10x = 246,959.10 × 75,847.20
  4. Step 4: Simplify right side
    164,615.10x = 18,731,156,249.52
  5. Step 5: Solve for x
    x = 18,731,156,249.52/164,615.10
  6. Step 6: Final answer
    x = 113,787.59

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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.