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Finding the Fourth Proportional to 186,418.74, 257,264.28 and 105,843.60

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Solution

The fourth proportional to 186,418.74, 257,264.28 and 105,843.60 is: 146,067.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    186,418.74 : 257,264.28 = 105,843.60 : x
  2. Step 2: Convert to fraction form
    186,418.74/257,264.28 = 105,843.60/x
  3. Step 3: Cross multiply
    186,418.74x = 257,264.28 × 105,843.60
  4. Step 4: Simplify right side
    186,418.74x = 27,229,777,546.61
  5. Step 5: Solve for x
    x = 27,229,777,546.61/186,418.74
  6. Step 6: Final answer
    x = 146,067.81

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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.