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Finding the Fourth Proportional to 179,357.16, 269,177.82 and 100,456.68

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Solution

The fourth proportional to 179,357.16, 269,177.82 and 100,456.68 is: 150,764.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    179,357.16 : 269,177.82 = 100,456.68 : x
  2. Step 2: Convert to fraction form
    179,357.16/269,177.82 = 100,456.68/x
  3. Step 3: Cross multiply
    179,357.16x = 269,177.82 × 100,456.68
  4. Step 4: Simplify right side
    179,357.16x = 27,040,710,126.84
  5. Step 5: Solve for x
    x = 27,040,710,126.84/179,357.16
  6. Step 6: Final answer
    x = 150,764.60

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.