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Finding the Fourth Proportional to 173,171.28, 259,796.28 and 54,850

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Solution

The fourth proportional to 173,171.28, 259,796.28 and 54,850 is: 82,287.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    173,171.28 : 259,796.28 = 54,850 : x
  2. Step 2: Convert to fraction form
    173,171.28/259,796.28 = 54,850/x
  3. Step 3: Cross multiply
    173,171.28x = 259,796.28 × 54,850
  4. Step 4: Simplify right side
    173,171.28x = 14,249,825,958
  5. Step 5: Solve for x
    x = 14,249,825,958/173,171.28
  6. Step 6: Final answer
    x = 82,287.47

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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.