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Finding the Fourth Proportional to 322,103.29, 483,214.34 and 105,974.17

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Solution

The fourth proportional to 322,103.29, 483,214.34 and 105,974.17 is: 158,980.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    322,103.29 : 483,214.34 = 105,974.17 : x
  2. Step 2: Convert to fraction form
    322,103.29/483,214.34 = 105,974.17/x
  3. Step 3: Cross multiply
    322,103.29x = 483,214.34 × 105,974.17
  4. Step 4: Simplify right side
    322,103.29x = 51,208,238,083.73
  5. Step 5: Solve for x
    x = 51,208,238,083.73/322,103.29
  6. Step 6: Final answer
    x = 158,980.80

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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.