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Finding the Fourth Proportional to 214,986.32, 322,480.24 and 65,227.88

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Solution

The fourth proportional to 214,986.32, 322,480.24 and 65,227.88 is: 97,842.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,986.32 : 322,480.24 = 65,227.88 : x
  2. Step 2: Convert to fraction form
    214,986.32/322,480.24 = 65,227.88/x
  3. Step 3: Cross multiply
    214,986.32x = 322,480.24 × 65,227.88
  4. Step 4: Simplify right side
    214,986.32x = 21,034,702,397.09
  5. Step 5: Solve for x
    x = 21,034,702,397.09/214,986.32
  6. Step 6: Final answer
    x = 97,842.05

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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.