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Finding the Fourth Proportional to 181,796.40, 272,856.60 and 106,822.80

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Solution

The fourth proportional to 181,796.40, 272,856.60 and 106,822.80 is: 160,329.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    181,796.40 : 272,856.60 = 106,822.80 : x
  2. Step 2: Convert to fraction form
    181,796.40/272,856.60 = 106,822.80/x
  3. Step 3: Cross multiply
    181,796.40x = 272,856.60 × 106,822.80
  4. Step 4: Simplify right side
    181,796.40x = 29,147,306,010.48
  5. Step 5: Solve for x
    x = 29,147,306,010.48/181,796.40
  6. Step 6: Final answer
    x = 160,329.39

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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.