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Finding the Fourth Proportional to 181,163.61, 271,657.64 and 75,954.33

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Solution

The fourth proportional to 181,163.61, 271,657.64 and 75,954.33 is: 113,894.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    181,163.61 : 271,657.64 = 75,954.33 : x
  2. Step 2: Convert to fraction form
    181,163.61/271,657.64 = 75,954.33/x
  3. Step 3: Cross multiply
    181,163.61x = 271,657.64 × 75,954.33
  4. Step 4: Simplify right side
    181,163.61x = 20,633,573,655.81
  5. Step 5: Solve for x
    x = 20,633,573,655.81/181,163.61
  6. Step 6: Final answer
    x = 113,894.69

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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.