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Finding the Fourth Proportional to 202,446.37, 303,853.86 and 107,756.09

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Solution

The fourth proportional to 202,446.37, 303,853.86 and 107,756.09 is: 161,732.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,446.37 : 303,853.86 = 107,756.09 : x
  2. Step 2: Convert to fraction form
    202,446.37/303,853.86 = 107,756.09/x
  3. Step 3: Cross multiply
    202,446.37x = 303,853.86 × 107,756.09
  4. Step 4: Simplify right side
    202,446.37x = 32,742,103,885.01
  5. Step 5: Solve for x
    x = 32,742,103,885.01/202,446.37
  6. Step 6: Final answer
    x = 161,732.23

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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.