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Finding the Fourth Proportional to 214,609.66, 321,917.54 and 64,851.20

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Solution

The fourth proportional to 214,609.66, 321,917.54 and 64,851.20 is: 97,277.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,609.66 : 321,917.54 = 64,851.20 : x
  2. Step 2: Convert to fraction form
    214,609.66/321,917.54 = 64,851.20/x
  3. Step 3: Cross multiply
    214,609.66x = 321,917.54 × 64,851.20
  4. Step 4: Simplify right side
    214,609.66x = 20,876,738,770.05
  5. Step 5: Solve for x
    x = 20,876,738,770.05/214,609.66
  6. Step 6: Final answer
    x = 97,277.72

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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.