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Finding the Fourth Proportional to 179,828, 269,754.96 and 69,020

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Solution

The fourth proportional to 179,828, 269,754.96 and 69,020 is: 103,534.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    179,828 : 269,754.96 = 69,020 : x
  2. Step 2: Convert to fraction form
    179,828/269,754.96 = 69,020/x
  3. Step 3: Cross multiply
    179,828x = 269,754.96 × 69,020
  4. Step 4: Simplify right side
    179,828x = 18,618,487,339.20
  5. Step 5: Solve for x
    x = 18,618,487,339.20/179,828
  6. Step 6: Final answer
    x = 103,534.97

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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.