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Finding the Fourth Proportional to 185,908.68, 256,553.30 and 105,351.54

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Solution

The fourth proportional to 185,908.68, 256,553.30 and 105,351.54 is: 145,384.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    185,908.68 : 256,553.30 = 105,351.54 : x
  2. Step 2: Convert to fraction form
    185,908.68/256,553.30 = 105,351.54/x
  3. Step 3: Cross multiply
    185,908.68x = 256,553.30 × 105,351.54
  4. Step 4: Simplify right side
    185,908.68x = 27,028,285,247.08
  5. Step 5: Solve for x
    x = 27,028,285,247.08/185,908.68
  6. Step 6: Final answer
    x = 145,384.74

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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.