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Finding the Fourth Proportional to 94,102.83, 140,969.70 and 54,576.92

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Solution

The fourth proportional to 94,102.83, 140,969.70 and 54,576.92 is: 81,758.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    94,102.83 : 140,969.70 = 54,576.92 : x
  2. Step 2: Convert to fraction form
    94,102.83/140,969.70 = 54,576.92/x
  3. Step 3: Cross multiply
    94,102.83x = 140,969.70 × 54,576.92
  4. Step 4: Simplify right side
    94,102.83x = 7,693,691,334.48
  5. Step 5: Solve for x
    x = 7,693,691,334.48/94,102.83
  6. Step 6: Final answer
    x = 81,758.34

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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.