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Finding the Fourth Proportional to 159,673.78, 220,353.01 and 103,183.57

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Solution

The fourth proportional to 159,673.78, 220,353.01 and 103,183.57 is: 142,395.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,673.78 : 220,353.01 = 103,183.57 : x
  2. Step 2: Convert to fraction form
    159,673.78/220,353.01 = 103,183.57/x
  3. Step 3: Cross multiply
    159,673.78x = 220,353.01 × 103,183.57
  4. Step 4: Simplify right side
    159,673.78x = 22,736,810,249.53
  5. Step 5: Solve for x
    x = 22,736,810,249.53/159,673.78
  6. Step 6: Final answer
    x = 142,395.39

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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.