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Finding the Fourth Proportional to 185,992, 256,668.34 and 101,108.46

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Solution

The fourth proportional to 185,992, 256,668.34 and 101,108.46 is: 139,529.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    185,992 : 256,668.34 = 101,108.46 : x
  2. Step 2: Convert to fraction form
    185,992/256,668.34 = 101,108.46/x
  3. Step 3: Cross multiply
    185,992x = 256,668.34 × 101,108.46
  4. Step 4: Simplify right side
    185,992x = 25,951,340,588.16
  5. Step 5: Solve for x
    x = 25,951,340,588.16/185,992
  6. Step 6: Final answer
    x = 139,529.34

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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.