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Finding the Fourth Proportional to 202,542.60, 302,939.10 and 171,049.80

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Solution

The fourth proportional to 202,542.60, 302,939.10 and 171,049.80 is: 255,835.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,542.60 : 302,939.10 = 171,049.80 : x
  2. Step 2: Convert to fraction form
    202,542.60/302,939.10 = 171,049.80/x
  3. Step 3: Cross multiply
    202,542.60x = 302,939.10 × 171,049.80
  4. Step 4: Simplify right side
    202,542.60x = 51,817,672,467.18
  5. Step 5: Solve for x
    x = 51,817,672,467.18/202,542.60
  6. Step 6: Final answer
    x = 255,835.92

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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.