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Finding the Fourth Proportional to 201,793.68, 302,223.96 and 194,795.28

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Solution

The fourth proportional to 201,793.68, 302,223.96 and 194,795.28 is: 291,742.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,793.68 : 302,223.96 = 194,795.28 : x
  2. Step 2: Convert to fraction form
    201,793.68/302,223.96 = 194,795.28/x
  3. Step 3: Cross multiply
    201,793.68x = 302,223.96 × 194,795.28
  4. Step 4: Simplify right side
    201,793.68x = 58,871,800,910.91
  5. Step 5: Solve for x
    x = 58,871,800,910.91/201,793.68
  6. Step 6: Final answer
    x = 291,742.54

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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.