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Finding the Fourth Proportional to 179,722, 248,016.36 and 100,234

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Solution

The fourth proportional to 179,722, 248,016.36 and 100,234 is: 138,322.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    179,722 : 248,016.36 = 100,234 : x
  2. Step 2: Convert to fraction form
    179,722/248,016.36 = 100,234/x
  3. Step 3: Cross multiply
    179,722x = 248,016.36 × 100,234
  4. Step 4: Simplify right side
    179,722x = 24,859,671,828.24
  5. Step 5: Solve for x
    x = 24,859,671,828.24/179,722
  6. Step 6: Final answer
    x = 138,322.92

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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.