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Finding the Fourth Proportional to 185,297.43, 255,710.44 and 100,414.49

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Solution

The fourth proportional to 185,297.43, 255,710.44 and 100,414.49 is: 138,571.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    185,297.43 : 255,710.44 = 100,414.49 : x
  2. Step 2: Convert to fraction form
    185,297.43/255,710.44 = 100,414.49/x
  3. Step 3: Cross multiply
    185,297.43x = 255,710.44 × 100,414.49
  4. Step 4: Simplify right side
    185,297.43x = 25,677,033,808.52
  5. Step 5: Solve for x
    x = 25,677,033,808.52/185,297.43
  6. Step 6: Final answer
    x = 138,571.99

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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.