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Finding the Fourth Proportional to 185,612, 256,144.74 and 100,729.08

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Solution

The fourth proportional to 185,612, 256,144.74 and 100,729.08 is: 139,006.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    185,612 : 256,144.74 = 100,729.08 : x
  2. Step 2: Convert to fraction form
    185,612/256,144.74 = 100,729.08/x
  3. Step 3: Cross multiply
    185,612x = 256,144.74 × 100,729.08
  4. Step 4: Simplify right side
    185,612x = 25,801,224,007.04
  5. Step 5: Solve for x
    x = 25,801,224,007.04/185,612
  6. Step 6: Final answer
    x = 139,006.23

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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.