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Finding the Fourth Proportional to 185,791.76, 256,384.04 and 105,219.87

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Solution

The fourth proportional to 185,791.76, 256,384.04 and 105,219.87 is: 145,198.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    185,791.76 : 256,384.04 = 105,219.87 : x
  2. Step 2: Convert to fraction form
    185,791.76/256,384.04 = 105,219.87/x
  3. Step 3: Cross multiply
    185,791.76x = 256,384.04 × 105,219.87
  4. Step 4: Simplify right side
    185,791.76x = 26,976,694,463.20
  5. Step 5: Solve for x
    x = 26,976,694,463.20/185,791.76
  6. Step 6: Final answer
    x = 145,198.55

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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.