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Finding the Fourth Proportional to 103,223, 154,860.52 and 29,351

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Solution

The fourth proportional to 103,223, 154,860.52 and 29,351 is: 44,033.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,223 : 154,860.52 = 29,351 : x
  2. Step 2: Convert to fraction form
    103,223/154,860.52 = 29,351/x
  3. Step 3: Cross multiply
    103,223x = 154,860.52 × 29,351
  4. Step 4: Simplify right side
    103,223x = 4,545,311,122.52
  5. Step 5: Solve for x
    x = 4,545,311,122.52/103,223
  6. Step 6: Final answer
    x = 44,033.90

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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.