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Finding the Fourth Proportional to 200,622.30, 300,496.05 and 165,630.30

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Solution

The fourth proportional to 200,622.30, 300,496.05 and 165,630.30 is: 248,084.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,622.30 : 300,496.05 = 165,630.30 : x
  2. Step 2: Convert to fraction form
    200,622.30/300,496.05 = 165,630.30/x
  3. Step 3: Cross multiply
    200,622.30x = 300,496.05 × 165,630.30
  4. Step 4: Simplify right side
    200,622.30x = 49,771,250,910.32
  5. Step 5: Solve for x
    x = 49,771,250,910.32/200,622.30
  6. Step 6: Final answer
    x = 248,084.34

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1.5x scale

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.