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Finding the Fourth Proportional to 229,183.62, 343,813.32 and 96,073.80

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Solution

The fourth proportional to 229,183.62, 343,813.32 and 96,073.80 is: 144,126.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    229,183.62 : 343,813.32 = 96,073.80 : x
  2. Step 2: Convert to fraction form
    229,183.62/343,813.32 = 96,073.80/x
  3. Step 3: Cross multiply
    229,183.62x = 343,813.32 × 96,073.80
  4. Step 4: Simplify right side
    229,183.62x = 33,031,452,143.02
  5. Step 5: Solve for x
    x = 33,031,452,143.02/229,183.62
  6. Step 6: Final answer
    x = 144,126.58

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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.