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Finding the Fourth Proportional to 206,268.90, 284,596.18 and 119,031.90

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Solution

The fourth proportional to 206,268.90, 284,596.18 and 119,031.90 is: 164,232.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,268.90 : 284,596.18 = 119,031.90 : x
  2. Step 2: Convert to fraction form
    206,268.90/284,596.18 = 119,031.90/x
  3. Step 3: Cross multiply
    206,268.90x = 284,596.18 × 119,031.90
  4. Step 4: Simplify right side
    206,268.90x = 33,876,023,342.88
  5. Step 5: Solve for x
    x = 33,876,023,342.88/206,268.90
  6. Step 6: Final answer
    x = 164,232.34

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.