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Finding the Fourth Proportional to 226,385.92, 339,462.24 and 101,620

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Solution

The fourth proportional to 226,385.92, 339,462.24 and 101,620 is: 152,377.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    226,385.92 : 339,462.24 = 101,620 : x
  2. Step 2: Convert to fraction form
    226,385.92/339,462.24 = 101,620/x
  3. Step 3: Cross multiply
    226,385.92x = 339,462.24 × 101,620
  4. Step 4: Simplify right side
    226,385.92x = 34,496,152,828.80
  5. Step 5: Solve for x
    x = 34,496,152,828.80/226,385.92
  6. Step 6: Final answer
    x = 152,377.64

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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.