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Finding the Fourth Proportional to 103,238.56, 154,883.70 and 29,366.56

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Solution

The fourth proportional to 103,238.56, 154,883.70 and 29,366.56 is: 44,057.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,238.56 : 154,883.70 = 29,366.56 : x
  2. Step 2: Convert to fraction form
    103,238.56/154,883.70 = 29,366.56/x
  3. Step 3: Cross multiply
    103,238.56x = 154,883.70 × 29,366.56
  4. Step 4: Simplify right side
    103,238.56x = 4,548,401,469.07
  5. Step 5: Solve for x
    x = 4,548,401,469.07/103,238.56
  6. Step 6: Final answer
    x = 44,057.20

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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.