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Finding the Fourth Proportional to 268,336.80, 402,505.20 and 201,414.60

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Solution

The fourth proportional to 268,336.80, 402,505.20 and 201,414.60 is: 302,121.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    268,336.80 : 402,505.20 = 201,414.60 : x
  2. Step 2: Convert to fraction form
    268,336.80/402,505.20 = 201,414.60/x
  3. Step 3: Cross multiply
    268,336.80x = 402,505.20 × 201,414.60
  4. Step 4: Simplify right side
    268,336.80x = 81,070,423,855.92
  5. Step 5: Solve for x
    x = 81,070,423,855.92/268,336.80
  6. Step 6: Final answer
    x = 302,121.90

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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.