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Finding the Fourth Proportional to 202,053.62, 303,169.83 and 105,967.91

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Solution

The fourth proportional to 202,053.62, 303,169.83 and 105,967.91 is: 158,998.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,053.62 : 303,169.83 = 105,967.91 : x
  2. Step 2: Convert to fraction form
    202,053.62/303,169.83 = 105,967.91/x
  3. Step 3: Cross multiply
    202,053.62x = 303,169.83 × 105,967.91
  4. Step 4: Simplify right side
    202,053.62x = 32,126,273,260.16
  5. Step 5: Solve for x
    x = 32,126,273,260.16/202,053.62
  6. Step 6: Final answer
    x = 158,998.75

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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.