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Finding the Fourth Proportional to 117,134.49, 161,645.38 and 63,419.50

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Solution

The fourth proportional to 117,134.49, 161,645.38 and 63,419.50 is: 87,518.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,134.49 : 161,645.38 = 63,419.50 : x
  2. Step 2: Convert to fraction form
    117,134.49/161,645.38 = 63,419.50/x
  3. Step 3: Cross multiply
    117,134.49x = 161,645.38 × 63,419.50
  4. Step 4: Simplify right side
    117,134.49x = 10,251,469,176.91
  5. Step 5: Solve for x
    x = 10,251,469,176.91/117,134.49
  6. Step 6: Final answer
    x = 87,518.79

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.