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Finding the Fourth Proportional to 214,304.96, 321,275.92 and 131,024

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Solution

The fourth proportional to 214,304.96, 321,275.92 and 131,024 is: 196,425.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,304.96 : 321,275.92 = 131,024 : x
  2. Step 2: Convert to fraction form
    214,304.96/321,275.92 = 131,024/x
  3. Step 3: Cross multiply
    214,304.96x = 321,275.92 × 131,024
  4. Step 4: Simplify right side
    214,304.96x = 42,094,856,142.08
  5. Step 5: Solve for x
    x = 42,094,856,142.08/214,304.96
  6. Step 6: Final answer
    x = 196,425.02

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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.