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Finding the Fourth Proportional to 133,898.47, 200,846.79 and 34,057.77

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Solution

The fourth proportional to 133,898.47, 200,846.79 and 34,057.77 is: 51,086.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,898.47 : 200,846.79 = 34,057.77 : x
  2. Step 2: Convert to fraction form
    133,898.47/200,846.79 = 34,057.77/x
  3. Step 3: Cross multiply
    133,898.47x = 200,846.79 × 34,057.77
  4. Step 4: Simplify right side
    133,898.47x = 6,840,393,025.88
  5. Step 5: Solve for x
    x = 6,840,393,025.88/133,898.47
  6. Step 6: Final answer
    x = 51,086.42

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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.