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Finding the Fourth Proportional to 104,911.90, 157,414.36 and 54,980.12

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Solution

The fourth proportional to 104,911.90, 157,414.36 and 54,980.12 is: 82,494.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    104,911.90 : 157,414.36 = 54,980.12 : x
  2. Step 2: Convert to fraction form
    104,911.90/157,414.36 = 54,980.12/x
  3. Step 3: Cross multiply
    104,911.90x = 157,414.36 × 54,980.12
  4. Step 4: Simplify right side
    104,911.90x = 8,654,660,402.52
  5. Step 5: Solve for x
    x = 8,654,660,402.52/104,911.90
  6. Step 6: Final answer
    x = 82,494.55

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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.