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Finding the Fourth Proportional to 185,257.98, 255,656.07 and 100,375.07

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Solution

The fourth proportional to 185,257.98, 255,656.07 and 100,375.07 is: 138,517.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    185,257.98 : 255,656.07 = 100,375.07 : x
  2. Step 2: Convert to fraction form
    185,257.98/255,656.07 = 100,375.07/x
  3. Step 3: Cross multiply
    185,257.98x = 255,656.07 × 100,375.07
  4. Step 4: Simplify right side
    185,257.98x = 25,661,494,643.89
  5. Step 5: Solve for x
    x = 25,661,494,643.89/185,257.98
  6. Step 6: Final answer
    x = 138,517.62

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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.