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Finding the Fourth Proportional to 200,811.73, 301,512.85 and 82,713.73

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Solution

The fourth proportional to 200,811.73, 301,512.85 and 82,713.73 is: 124,192.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,811.73 : 301,512.85 = 82,713.73 : x
  2. Step 2: Convert to fraction form
    200,811.73/301,512.85 = 82,713.73/x
  3. Step 3: Cross multiply
    200,811.73x = 301,512.85 × 82,713.73
  4. Step 4: Simplify right side
    200,811.73x = 24,939,252,466.43
  5. Step 5: Solve for x
    x = 24,939,252,466.43/200,811.73
  6. Step 6: Final answer
    x = 124,192.21

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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.