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Finding the Fourth Proportional to 104,910.41, 157,412.14 and 54,978.64

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Solution

The fourth proportional to 104,910.41, 157,412.14 and 54,978.64 is: 82,492.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    104,910.41 : 157,412.14 = 54,978.64 : x
  2. Step 2: Convert to fraction form
    104,910.41/157,412.14 = 54,978.64/x
  3. Step 3: Cross multiply
    104,910.41x = 157,412.14 × 54,978.64
  4. Step 4: Simplify right side
    104,910.41x = 8,654,305,376.69
  5. Step 5: Solve for x
    x = 8,654,305,376.69/104,910.41
  6. Step 6: Final answer
    x = 82,492.34

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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.