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Finding the Fourth Proportional to 322,109.36, 483,098.44 and 122,359.72

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Solution

The fourth proportional to 322,109.36, 483,098.44 and 122,359.72 is: 183,514.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    322,109.36 : 483,098.44 = 122,359.72 : x
  2. Step 2: Convert to fraction form
    322,109.36/483,098.44 = 122,359.72/x
  3. Step 3: Cross multiply
    322,109.36x = 483,098.44 × 122,359.72
  4. Step 4: Simplify right side
    322,109.36x = 59,111,789,850.84
  5. Step 5: Solve for x
    x = 59,111,789,850.84/322,109.36
  6. Step 6: Final answer
    x = 183,514.66

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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.