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Finding the Fourth Proportional to 185,694.67, 256,257.93 and 100,811.71

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Solution

The fourth proportional to 185,694.67, 256,257.93 and 100,811.71 is: 139,119.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    185,694.67 : 256,257.93 = 100,811.71 : x
  2. Step 2: Convert to fraction form
    185,694.67/256,257.93 = 100,811.71/x
  3. Step 3: Cross multiply
    185,694.67x = 256,257.93 × 100,811.71
  4. Step 4: Simplify right side
    185,694.67x = 25,833,800,124.36
  5. Step 5: Solve for x
    x = 25,833,800,124.36/185,694.67
  6. Step 6: Final answer
    x = 139,119.77

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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.