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Finding the Fourth Proportional to 202,098.80, 302,629.80 and 192,767.60

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Solution

The fourth proportional to 202,098.80, 302,629.80 and 192,767.60 is: 288,656.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,098.80 : 302,629.80 = 192,767.60 : x
  2. Step 2: Convert to fraction form
    202,098.80/302,629.80 = 192,767.60/x
  3. Step 3: Cross multiply
    202,098.80x = 302,629.80 × 192,767.60
  4. Step 4: Simplify right side
    202,098.80x = 58,337,220,234.48
  5. Step 5: Solve for x
    x = 58,337,220,234.48/202,098.80
  6. Step 6: Final answer
    x = 288,656.94

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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.