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Finding the Fourth Proportional to 202,242.96, 303,289.92 and 67,281.84

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Solution

The fourth proportional to 202,242.96, 303,289.92 and 67,281.84 is: 100,897.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,242.96 : 303,289.92 = 67,281.84 : x
  2. Step 2: Convert to fraction form
    202,242.96/303,289.92 = 67,281.84/x
  3. Step 3: Cross multiply
    202,242.96x = 303,289.92 × 67,281.84
  4. Step 4: Simplify right side
    202,242.96x = 20,405,903,871.05
  5. Step 5: Solve for x
    x = 20,405,903,871.05/202,242.96
  6. Step 6: Final answer
    x = 100,897.97

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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.