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Finding the Fourth Proportional to 115,194.59, 172,765.96 and 41,322.59

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Solution

The fourth proportional to 115,194.59, 172,765.96 and 41,322.59 is: 61,974.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    115,194.59 : 172,765.96 = 41,322.59 : x
  2. Step 2: Convert to fraction form
    115,194.59/172,765.96 = 41,322.59/x
  3. Step 3: Cross multiply
    115,194.59x = 172,765.96 × 41,322.59
  4. Step 4: Simplify right side
    115,194.59x = 7,139,135,963.90
  5. Step 5: Solve for x
    x = 7,139,135,963.90/115,194.59
  6. Step 6: Final answer
    x = 61,974.58

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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.