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Finding the Fourth Proportional to 97,299.54, 145,949.32 and 75,145.24

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Solution

The fourth proportional to 97,299.54, 145,949.32 and 75,145.24 is: 112,717.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,299.54 : 145,949.32 = 75,145.24 : x
  2. Step 2: Convert to fraction form
    97,299.54/145,949.32 = 75,145.24/x
  3. Step 3: Cross multiply
    97,299.54x = 145,949.32 × 75,145.24
  4. Step 4: Simplify right side
    97,299.54x = 10,967,396,679.24
  5. Step 5: Solve for x
    x = 10,967,396,679.24/97,299.54
  6. Step 6: Final answer
    x = 112,717.87

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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.