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Finding the Fourth Proportional to 101,589.30, 140,194.26 and 61,295.31

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Solution

The fourth proportional to 101,589.30, 140,194.26 and 61,295.31 is: 84,588.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,589.30 : 140,194.26 = 61,295.31 : x
  2. Step 2: Convert to fraction form
    101,589.30/140,194.26 = 61,295.31/x
  3. Step 3: Cross multiply
    101,589.30x = 140,194.26 × 61,295.31
  4. Step 4: Simplify right side
    101,589.30x = 8,593,249,974.03
  5. Step 5: Solve for x
    x = 8,593,249,974.03/101,589.30
  6. Step 6: Final answer
    x = 84,588.14

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