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Finding the Fourth Proportional to 104,650.84, 144,174.09 and 72,764.38

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Solution

The fourth proportional to 104,650.84, 144,174.09 and 72,764.38 is: 100,245.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    104,650.84 : 144,174.09 = 72,764.38 : x
  2. Step 2: Convert to fraction form
    104,650.84/144,174.09 = 72,764.38/x
  3. Step 3: Cross multiply
    104,650.84x = 144,174.09 × 72,764.38
  4. Step 4: Simplify right side
    104,650.84x = 10,490,738,270.91
  5. Step 5: Solve for x
    x = 10,490,738,270.91/104,650.84
  6. Step 6: Final answer
    x = 100,245.14

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.