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Finding the Fourth Proportional to 138,310.52, 190,872.30 and 84,594.56

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Solution

The fourth proportional to 138,310.52, 190,872.30 and 84,594.56 is: 116,742.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,310.52 : 190,872.30 = 84,594.56 : x
  2. Step 2: Convert to fraction form
    138,310.52/190,872.30 = 84,594.56/x
  3. Step 3: Cross multiply
    138,310.52x = 190,872.30 × 84,594.56
  4. Step 4: Simplify right side
    138,310.52x = 16,146,758,234.69
  5. Step 5: Solve for x
    x = 16,146,758,234.69/138,310.52
  6. Step 6: Final answer
    x = 116,742.81

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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.