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Finding the Fourth Proportional to 185,540.82, 256,046.43 and 100,657.88

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Solution

The fourth proportional to 185,540.82, 256,046.43 and 100,657.88 is: 138,907.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    185,540.82 : 256,046.43 = 100,657.88 : x
  2. Step 2: Convert to fraction form
    185,540.82/256,046.43 = 100,657.88/x
  3. Step 3: Cross multiply
    185,540.82x = 256,046.43 × 100,657.88
  4. Step 4: Simplify right side
    185,540.82x = 25,773,090,825.37
  5. Step 5: Solve for x
    x = 25,773,090,825.37/185,540.82
  6. Step 6: Final answer
    x = 138,907.93

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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.