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Finding the Fourth Proportional to 214,612.30, 321,793.17 and 64,807.66

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Solution

The fourth proportional to 214,612.30, 321,793.17 and 64,807.66 is: 97,173.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,612.30 : 321,793.17 = 64,807.66 : x
  2. Step 2: Convert to fraction form
    214,612.30/321,793.17 = 64,807.66/x
  3. Step 3: Cross multiply
    214,612.30x = 321,793.17 × 64,807.66
  4. Step 4: Simplify right side
    214,612.30x = 20,854,662,351.68
  5. Step 5: Solve for x
    x = 20,854,662,351.68/214,612.30
  6. Step 6: Final answer
    x = 97,173.66

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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.