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Finding the Fourth Proportional to 153,471.80, 230,162.34 and 69,183.32

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Solution

The fourth proportional to 153,471.80, 230,162.34 and 69,183.32 is: 103,754.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,471.80 : 230,162.34 = 69,183.32 : x
  2. Step 2: Convert to fraction form
    153,471.80/230,162.34 = 69,183.32/x
  3. Step 3: Cross multiply
    153,471.80x = 230,162.34 × 69,183.32
  4. Step 4: Simplify right side
    153,471.80x = 15,923,394,820.17
  5. Step 5: Solve for x
    x = 15,923,394,820.17/153,471.80
  6. Step 6: Final answer
    x = 103,754.53

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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.