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Finding the Fourth Proportional to 133,303.91, 200,006.37 and 80,033.09

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Solution

The fourth proportional to 133,303.91, 200,006.37 and 80,033.09 is: 120,079.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,303.91 : 200,006.37 = 80,033.09 : x
  2. Step 2: Convert to fraction form
    133,303.91/200,006.37 = 80,033.09/x
  3. Step 3: Cross multiply
    133,303.91x = 200,006.37 × 80,033.09
  4. Step 4: Simplify right side
    133,303.91x = 16,007,127,560.78
  5. Step 5: Solve for x
    x = 16,007,127,560.78/133,303.91
  6. Step 6: Final answer
    x = 120,079.96

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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.