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Finding the Fourth Proportional to 74,195.82, 111,404.90 and 64,231.30

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Solution

The fourth proportional to 74,195.82, 111,404.90 and 64,231.30 is: 96,443.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,195.82 : 111,404.90 = 64,231.30 : x
  2. Step 2: Convert to fraction form
    74,195.82/111,404.90 = 64,231.30/x
  3. Step 3: Cross multiply
    74,195.82x = 111,404.90 × 64,231.30
  4. Step 4: Simplify right side
    74,195.82x = 7,155,681,553.37
  5. Step 5: Solve for x
    x = 7,155,681,553.37/74,195.82
  6. Step 6: Final answer
    x = 96,443.19

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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.