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Finding the Fourth Proportional to 159,408.40, 239,141.40 and 80,323.60

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Solution

The fourth proportional to 159,408.40, 239,141.40 and 80,323.60 is: 120,499.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,408.40 : 239,141.40 = 80,323.60 : x
  2. Step 2: Convert to fraction form
    159,408.40/239,141.40 = 80,323.60/x
  3. Step 3: Cross multiply
    159,408.40x = 239,141.40 × 80,323.60
  4. Step 4: Simplify right side
    159,408.40x = 19,208,698,157.04
  5. Step 5: Solve for x
    x = 19,208,698,157.04/159,408.40
  6. Step 6: Final answer
    x = 120,499.91

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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.