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Finding the Fourth Proportional to 186,540.52, 257,424.78 and 101,657.56

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Solution

The fourth proportional to 186,540.52, 257,424.78 and 101,657.56 is: 140,286.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    186,540.52 : 257,424.78 = 101,657.56 : x
  2. Step 2: Convert to fraction form
    186,540.52/257,424.78 = 101,657.56/x
  3. Step 3: Cross multiply
    186,540.52x = 257,424.78 × 101,657.56
  4. Step 4: Simplify right side
    186,540.52x = 26,169,175,018.34
  5. Step 5: Solve for x
    x = 26,169,175,018.34/186,540.52
  6. Step 6: Final answer
    x = 140,286.81

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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.