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Finding the Fourth Proportional to 219,761.60, 329,351.24 and 113,141.24

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Solution

The fourth proportional to 219,761.60, 329,351.24 and 113,141.24 is: 169,561.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    219,761.60 : 329,351.24 = 113,141.24 : x
  2. Step 2: Convert to fraction form
    219,761.60/329,351.24 = 113,141.24/x
  3. Step 3: Cross multiply
    219,761.60x = 329,351.24 × 113,141.24
  4. Step 4: Simplify right side
    219,761.60x = 37,263,205,476.68
  5. Step 5: Solve for x
    x = 37,263,205,476.68/219,761.60
  6. Step 6: Final answer
    x = 169,561.95

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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.