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Finding the Fourth Proportional to 230,817.35, 318,671.95 and 149,188.33

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Solution

The fourth proportional to 230,817.35, 318,671.95 and 149,188.33 is: 205,972.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    230,817.35 : 318,671.95 = 149,188.33 : x
  2. Step 2: Convert to fraction form
    230,817.35/318,671.95 = 149,188.33/x
  3. Step 3: Cross multiply
    230,817.35x = 318,671.95 × 149,188.33
  4. Step 4: Simplify right side
    230,817.35x = 47,542,135,923.85
  5. Step 5: Solve for x
    x = 47,542,135,923.85/230,817.35
  6. Step 6: Final answer
    x = 205,972.98

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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.