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Finding the Fourth Proportional to 322,167.52, 483,128.22 and 105,976

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Solution

The fourth proportional to 322,167.52, 483,128.22 and 105,976 is: 158,923.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    322,167.52 : 483,128.22 = 105,976 : x
  2. Step 2: Convert to fraction form
    322,167.52/483,128.22 = 105,976/x
  3. Step 3: Cross multiply
    322,167.52x = 483,128.22 × 105,976
  4. Step 4: Simplify right side
    322,167.52x = 51,199,996,242.72
  5. Step 5: Solve for x
    x = 51,199,996,242.72/322,167.52
  6. Step 6: Final answer
    x = 158,923.52

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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.