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Finding the Fourth Proportional to 200,188.17, 300,284.24 and 81,778.59

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Solution

The fourth proportional to 200,188.17, 300,284.24 and 81,778.59 is: 122,668.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,188.17 : 300,284.24 = 81,778.59 : x
  2. Step 2: Convert to fraction form
    200,188.17/300,284.24 = 81,778.59/x
  3. Step 3: Cross multiply
    200,188.17x = 300,284.24 × 81,778.59
  4. Step 4: Simplify right side
    200,188.17x = 24,556,821,337.53
  5. Step 5: Solve for x
    x = 24,556,821,337.53/200,188.17
  6. Step 6: Final answer
    x = 122,668.69

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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.