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Finding the Fourth Proportional to 121,163.89, 181,774.59 and 38,057.89

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Solution

The fourth proportional to 121,163.89, 181,774.59 and 38,057.89 is: 57,095.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    121,163.89 : 181,774.59 = 38,057.89 : x
  2. Step 2: Convert to fraction form
    121,163.89/181,774.59 = 38,057.89/x
  3. Step 3: Cross multiply
    121,163.89x = 181,774.59 × 38,057.89
  4. Step 4: Simplify right side
    121,163.89x = 6,917,957,351.02
  5. Step 5: Solve for x
    x = 6,917,957,351.02/121,163.89
  6. Step 6: Final answer
    x = 57,095.87

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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.