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Finding the Fourth Proportional to 195,920.82, 270,400.28 and 119,484.27

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Solution

The fourth proportional to 195,920.82, 270,400.28 and 119,484.27 is: 164,906.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    195,920.82 : 270,400.28 = 119,484.27 : x
  2. Step 2: Convert to fraction form
    195,920.82/270,400.28 = 119,484.27/x
  3. Step 3: Cross multiply
    195,920.82x = 270,400.28 × 119,484.27
  4. Step 4: Simplify right side
    195,920.82x = 32,308,579,466.17
  5. Step 5: Solve for x
    x = 32,308,579,466.17/195,920.82
  6. Step 6: Final answer
    x = 164,906.31

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.