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Finding the Fourth Proportional to 206,843.40, 310,265.22 and 59,099.40

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Solution

The fourth proportional to 206,843.40, 310,265.22 and 59,099.40 is: 88,649.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,843.40 : 310,265.22 = 59,099.40 : x
  2. Step 2: Convert to fraction form
    206,843.40/310,265.22 = 59,099.40/x
  3. Step 3: Cross multiply
    206,843.40x = 310,265.22 × 59,099.40
  4. Step 4: Simplify right side
    206,843.40x = 18,336,488,342.87
  5. Step 5: Solve for x
    x = 18,336,488,342.87/206,843.40
  6. Step 6: Final answer
    x = 88,649.13

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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.