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Finding the Fourth Proportional to 181,724.66, 272,625.83 and 55,375

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Solution

The fourth proportional to 181,724.66, 272,625.83 and 55,375 is: 83,074.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    181,724.66 : 272,625.83 = 55,375 : x
  2. Step 2: Convert to fraction form
    181,724.66/272,625.83 = 55,375/x
  3. Step 3: Cross multiply
    181,724.66x = 272,625.83 × 55,375
  4. Step 4: Simplify right side
    181,724.66x = 15,096,655,336.25
  5. Step 5: Solve for x
    x = 15,096,655,336.25/181,724.66
  6. Step 6: Final answer
    x = 83,074.34

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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.