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Finding the Fourth Proportional to 97,399.68, 146,119.20 and 41,239.68

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Solution

The fourth proportional to 97,399.68, 146,119.20 and 41,239.68 is: 61,867.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,399.68 : 146,119.20 = 41,239.68 : x
  2. Step 2: Convert to fraction form
    97,399.68/146,119.20 = 41,239.68/x
  3. Step 3: Cross multiply
    97,399.68x = 146,119.20 × 41,239.68
  4. Step 4: Simplify right side
    97,399.68x = 6,025,909,049.86
  5. Step 5: Solve for x
    x = 6,025,909,049.86/97,399.68
  6. Step 6: Final answer
    x = 61,867.85

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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.