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Finding the Fourth Proportional to 561,157.22, 842,071.21 and 206,207.12

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Solution

The fourth proportional to 561,157.22, 842,071.21 and 206,207.12 is: 309,433.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    561,157.22 : 842,071.21 = 206,207.12 : x
  2. Step 2: Convert to fraction form
    561,157.22/842,071.21 = 206,207.12/x
  3. Step 3: Cross multiply
    561,157.22x = 842,071.21 × 206,207.12
  4. Step 4: Simplify right side
    561,157.22x = 173,641,079,049.02
  5. Step 5: Solve for x
    x = 173,641,079,049.02/561,157.22
  6. Step 6: Final answer
    x = 309,433.92

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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.