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Finding the Fourth Proportional to 224,768.20, 336,496.20 and 201,148.60

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Solution

The fourth proportional to 224,768.20, 336,496.20 and 201,148.60 is: 301,135.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    224,768.20 : 336,496.20 = 201,148.60 : x
  2. Step 2: Convert to fraction form
    224,768.20/336,496.20 = 201,148.60/x
  3. Step 3: Cross multiply
    224,768.20x = 336,496.20 × 201,148.60
  4. Step 4: Simplify right side
    224,768.20x = 67,685,739,535.32
  5. Step 5: Solve for x
    x = 67,685,739,535.32/224,768.20
  6. Step 6: Final answer
    x = 301,135.75

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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.