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Finding the Fourth Proportional to 104,910.33, 157,412.01 and 54,978.56

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Solution

The fourth proportional to 104,910.33, 157,412.01 and 54,978.56 is: 82,492.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    104,910.33 : 157,412.01 = 54,978.56 : x
  2. Step 2: Convert to fraction form
    104,910.33/157,412.01 = 54,978.56/x
  3. Step 3: Cross multiply
    104,910.33x = 157,412.01 × 54,978.56
  4. Step 4: Simplify right side
    104,910.33x = 8,654,285,645.91
  5. Step 5: Solve for x
    x = 8,654,285,645.91/104,910.33
  6. Step 6: Final answer
    x = 82,492.21

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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.