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Finding the Fourth Proportional to 185,751.50, 256,334.81 and 100,869.17

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Solution

The fourth proportional to 185,751.50, 256,334.81 and 100,869.17 is: 139,198.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    185,751.50 : 256,334.81 = 100,869.17 : x
  2. Step 2: Convert to fraction form
    185,751.50/256,334.81 = 100,869.17/x
  3. Step 3: Cross multiply
    185,751.50x = 256,334.81 × 100,869.17
  4. Step 4: Simplify right side
    185,751.50x = 25,856,277,740.79
  5. Step 5: Solve for x
    x = 25,856,277,740.79/185,751.50
  6. Step 6: Final answer
    x = 139,198.22

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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.