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Finding the Fourth Proportional to 200,714.10, 301,071.15 and 133,937.70

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Solution

The fourth proportional to 200,714.10, 301,071.15 and 133,937.70 is: 200,906.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,714.10 : 301,071.15 = 133,937.70 : x
  2. Step 2: Convert to fraction form
    200,714.10/301,071.15 = 133,937.70/x
  3. Step 3: Cross multiply
    200,714.10x = 301,071.15 × 133,937.70
  4. Step 4: Simplify right side
    200,714.10x = 40,324,777,367.36
  5. Step 5: Solve for x
    x = 40,324,777,367.36/200,714.10
  6. Step 6: Final answer
    x = 200,906.55

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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.