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Finding the Fourth Proportional to 159,206.53, 219,736.41 and 91,269.12

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Solution

The fourth proportional to 159,206.53, 219,736.41 and 91,269.12 is: 125,969.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,206.53 : 219,736.41 = 91,269.12 : x
  2. Step 2: Convert to fraction form
    159,206.53/219,736.41 = 91,269.12/x
  3. Step 3: Cross multiply
    159,206.53x = 219,736.41 × 91,269.12
  4. Step 4: Simplify right side
    159,206.53x = 20,055,148,772.66
  5. Step 5: Solve for x
    x = 20,055,148,772.66/159,206.53
  6. Step 6: Final answer
    x = 125,969.39

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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.