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Finding the Fourth Proportional to 115,653.94, 159,584.31 and 67,266.58

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Solution

The fourth proportional to 115,653.94, 159,584.31 and 67,266.58 is: 92,817.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    115,653.94 : 159,584.31 = 67,266.58 : x
  2. Step 2: Convert to fraction form
    115,653.94/159,584.31 = 67,266.58/x
  3. Step 3: Cross multiply
    115,653.94x = 159,584.31 × 67,266.58
  4. Step 4: Simplify right side
    115,653.94x = 10,734,690,755.36
  5. Step 5: Solve for x
    x = 10,734,690,755.36/115,653.94
  6. Step 6: Final answer
    x = 92,817.34

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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.