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Finding the Fourth Proportional to 121,163.50, 181,774.68 and 38,057.50

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Solution

The fourth proportional to 121,163.50, 181,774.68 and 38,057.50 is: 57,095.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    121,163.50 : 181,774.68 = 38,057.50 : x
  2. Step 2: Convert to fraction form
    121,163.50/181,774.68 = 38,057.50/x
  3. Step 3: Cross multiply
    121,163.50x = 181,774.68 × 38,057.50
  4. Step 4: Simplify right side
    121,163.50x = 6,917,889,884.10
  5. Step 5: Solve for x
    x = 6,917,889,884.10/121,163.50
  6. Step 6: Final answer
    x = 57,095.49

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.