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Finding the Fourth Proportional to 131,294.96, 196,942.44 and 104,876.00

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Solution

The fourth proportional to 131,294.96, 196,942.44 and 104,876.00 is: 157,314.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    131,294.96 : 196,942.44 = 104,876.00 : x
  2. Step 2: Convert to fraction form
    131,294.96/196,942.44 = 104,876.00/x
  3. Step 3: Cross multiply
    131,294.96x = 196,942.44 × 104,876.00
  4. Step 4: Simplify right side
    131,294.96x = 20,654,534,352.73
  5. Step 5: Solve for x
    x = 20,654,534,352.73/131,294.96
  6. Step 6: Final answer
    x = 157,314.00

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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.