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Finding the Fourth Proportional to 121,143.82, 181,723.02 and 38,037.82

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Solution

The fourth proportional to 121,143.82, 181,723.02 and 38,037.82 is: 57,059.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    121,143.82 : 181,723.02 = 38,037.82 : x
  2. Step 2: Convert to fraction form
    121,143.82/181,723.02 = 38,037.82/x
  3. Step 3: Cross multiply
    121,143.82x = 181,723.02 × 38,037.82
  4. Step 4: Simplify right side
    121,143.82x = 6,912,347,524.62
  5. Step 5: Solve for x
    x = 6,912,347,524.62/121,143.82
  6. Step 6: Final answer
    x = 57,059.02

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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.