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Finding the Fourth Proportional to 322,159.98, 482,831.73 and 181,997.58

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Solution

The fourth proportional to 322,159.98, 482,831.73 and 181,997.58 is: 272,765.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    322,159.98 : 482,831.73 = 181,997.58 : x
  2. Step 2: Convert to fraction form
    322,159.98/482,831.73 = 181,997.58/x
  3. Step 3: Cross multiply
    322,159.98x = 482,831.73 × 181,997.58
  4. Step 4: Simplify right side
    322,159.98x = 87,874,206,407.21
  5. Step 5: Solve for x
    x = 87,874,206,407.21/322,159.98
  6. Step 6: Final answer
    x = 272,765.74

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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.