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Finding the Fourth Proportional to 137,619.62, 206,234.10 and 57,571.32

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Solution

The fourth proportional to 137,619.62, 206,234.10 and 57,571.32 is: 86,275.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,619.62 : 206,234.10 = 57,571.32 : x
  2. Step 2: Convert to fraction form
    137,619.62/206,234.10 = 57,571.32/x
  3. Step 3: Cross multiply
    137,619.62x = 206,234.10 × 57,571.32
  4. Step 4: Simplify right side
    137,619.62x = 11,873,169,366.01
  5. Step 5: Solve for x
    x = 11,873,169,366.01/137,619.62
  6. Step 6: Final answer
    x = 86,275.27

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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.