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Finding the Fourth Proportional to 215,846.40, 323,769.60 and 141,196.80

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Solution

The fourth proportional to 215,846.40, 323,769.60 and 141,196.80 is: 211,795.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    215,846.40 : 323,769.60 = 141,196.80 : x
  2. Step 2: Convert to fraction form
    215,846.40/323,769.60 = 141,196.80/x
  3. Step 3: Cross multiply
    215,846.40x = 323,769.60 × 141,196.80
  4. Step 4: Simplify right side
    215,846.40x = 45,715,231,457.28
  5. Step 5: Solve for x
    x = 45,715,231,457.28/215,846.40
  6. Step 6: Final answer
    x = 211,795.20

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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.