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Finding the Fourth Proportional to 147,234.11, 203,193.56 and 83,576.00

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Solution

The fourth proportional to 147,234.11, 203,193.56 and 83,576.00 is: 115,340.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,234.11 : 203,193.56 = 83,576.00 : x
  2. Step 2: Convert to fraction form
    147,234.11/203,193.56 = 83,576.00/x
  3. Step 3: Cross multiply
    147,234.11x = 203,193.56 × 83,576.00
  4. Step 4: Simplify right side
    147,234.11x = 16,982,105,687.48
  5. Step 5: Solve for x
    x = 16,982,105,687.48/147,234.11
  6. Step 6: Final answer
    x = 115,340.84

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.