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Finding the Fourth Proportional to 215,464, 323,231.02 and 63,676.48

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Solution

The fourth proportional to 215,464, 323,231.02 and 63,676.48 is: 95,525.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    215,464 : 323,231.02 = 63,676.48 : x
  2. Step 2: Convert to fraction form
    215,464/323,231.02 = 63,676.48/x
  3. Step 3: Cross multiply
    215,464x = 323,231.02 × 63,676.48
  4. Step 4: Simplify right side
    215,464x = 20,582,213,580.41
  5. Step 5: Solve for x
    x = 20,582,213,580.41/215,464
  6. Step 6: Final answer
    x = 95,525.07

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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.