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Finding the Fourth Proportional to 103,223.88, 154,861.84 and 29,351.88

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Solution

The fourth proportional to 103,223.88, 154,861.84 and 29,351.88 is: 44,035.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,223.88 : 154,861.84 = 29,351.88 : x
  2. Step 2: Convert to fraction form
    103,223.88/154,861.84 = 29,351.88/x
  3. Step 3: Cross multiply
    103,223.88x = 154,861.84 × 29,351.88
  4. Step 4: Simplify right side
    103,223.88x = 4,545,485,997.50
  5. Step 5: Solve for x
    x = 4,545,485,997.50/103,223.88
  6. Step 6: Final answer
    x = 44,035.22

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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.