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Finding the Fourth Proportional to 201,793.75, 302,708.05 and 52,032.78

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Solution

The fourth proportional to 201,793.75, 302,708.05 and 52,032.78 is: 78,053.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,793.75 : 302,708.05 = 52,032.78 : x
  2. Step 2: Convert to fraction form
    201,793.75/302,708.05 = 52,032.78/x
  3. Step 3: Cross multiply
    201,793.75x = 302,708.05 × 52,032.78
  4. Step 4: Simplify right side
    201,793.75x = 15,750,741,239.80
  5. Step 5: Solve for x
    x = 15,750,741,239.80/201,793.75
  6. Step 6: Final answer
    x = 78,053.66

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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.