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Finding the Fourth Proportional to 104,910.35, 157,412.04 and 54,978.58

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Solution

The fourth proportional to 104,910.35, 157,412.04 and 54,978.58 is: 82,492.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    104,910.35 : 157,412.04 = 54,978.58 : x
  2. Step 2: Convert to fraction form
    104,910.35/157,412.04 = 54,978.58/x
  3. Step 3: Cross multiply
    104,910.35x = 157,412.04 × 54,978.58
  4. Step 4: Simplify right side
    104,910.35x = 8,654,289,372.15
  5. Step 5: Solve for x
    x = 8,654,289,372.15/104,910.35
  6. Step 6: Final answer
    x = 82,492.24

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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.