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Finding the Fourth Proportional to 214,920.30, 322,383.15 and 65,162.10

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Solution

The fourth proportional to 214,920.30, 322,383.15 and 65,162.10 is: 97,743.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,920.30 : 322,383.15 = 65,162.10 : x
  2. Step 2: Convert to fraction form
    214,920.30/322,383.15 = 65,162.10/x
  3. Step 3: Cross multiply
    214,920.30x = 322,383.15 × 65,162.10
  4. Step 4: Simplify right side
    214,920.30x = 21,007,163,058.62
  5. Step 5: Solve for x
    x = 21,007,163,058.62/214,920.30
  6. Step 6: Final answer
    x = 97,743.97

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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.