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Finding the Fourth Proportional to 186,838.88, 257,843.12 and 101,961.41

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Solution

The fourth proportional to 186,838.88, 257,843.12 and 101,961.41 is: 140,709.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    186,838.88 : 257,843.12 = 101,961.41 : x
  2. Step 2: Convert to fraction form
    186,838.88/257,843.12 = 101,961.41/x
  3. Step 3: Cross multiply
    186,838.88x = 257,843.12 × 101,961.41
  4. Step 4: Simplify right side
    186,838.88x = 26,290,046,274.98
  5. Step 5: Solve for x
    x = 26,290,046,274.98/186,838.88
  6. Step 6: Final answer
    x = 140,709.72

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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.