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Finding the Fourth Proportional to 201,915.10, 302,872.65 and 200,532.70

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Solution

The fourth proportional to 201,915.10, 302,872.65 and 200,532.70 is: 300,799.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,915.10 : 302,872.65 = 200,532.70 : x
  2. Step 2: Convert to fraction form
    201,915.10/302,872.65 = 200,532.70/x
  3. Step 3: Cross multiply
    201,915.10x = 302,872.65 × 200,532.70
  4. Step 4: Simplify right side
    201,915.10x = 60,735,870,260.66
  5. Step 5: Solve for x
    x = 60,735,870,260.66/201,915.10
  6. Step 6: Final answer
    x = 300,799.05

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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.