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Finding the Fourth Proportional to 215,832.60, 323,894.70 and 140,769.90

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Solution

The fourth proportional to 215,832.60, 323,894.70 and 140,769.90 is: 211,249.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    215,832.60 : 323,894.70 = 140,769.90 : x
  2. Step 2: Convert to fraction form
    215,832.60/323,894.70 = 140,769.90/x
  3. Step 3: Cross multiply
    215,832.60x = 323,894.70 × 140,769.90
  4. Step 4: Simplify right side
    215,832.60x = 45,594,624,529.53
  5. Step 5: Solve for x
    x = 45,594,624,529.53/215,832.60
  6. Step 6: Final answer
    x = 211,249.94

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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.