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Finding the Fourth Proportional to 200,416.74, 300,640.90 and 67,296.48

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Solution

The fourth proportional to 200,416.74, 300,640.90 and 67,296.48 is: 100,950.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,416.74 : 300,640.90 = 67,296.48 : x
  2. Step 2: Convert to fraction form
    200,416.74/300,640.90 = 67,296.48/x
  3. Step 3: Cross multiply
    200,416.74x = 300,640.90 × 67,296.48
  4. Step 4: Simplify right side
    200,416.74x = 20,232,074,314.03
  5. Step 5: Solve for x
    x = 20,232,074,314.03/200,416.74
  6. Step 6: Final answer
    x = 100,950.02

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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.