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Finding the Fourth Proportional to 97,238.96, 146,121.96 and 52,898.48

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Solution

The fourth proportional to 97,238.96, 146,121.96 and 52,898.48 is: 79,491.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,238.96 : 146,121.96 = 52,898.48 : x
  2. Step 2: Convert to fraction form
    97,238.96/146,121.96 = 52,898.48/x
  3. Step 3: Cross multiply
    97,238.96x = 146,121.96 × 52,898.48
  4. Step 4: Simplify right side
    97,238.96x = 7,729,629,578.62
  5. Step 5: Solve for x
    x = 7,729,629,578.62/97,238.96
  6. Step 6: Final answer
    x = 79,491.08

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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.