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Finding the Fourth Proportional to 206,672.92, 285,211.74 and 199,521.40

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Solution

The fourth proportional to 206,672.92, 285,211.74 and 199,521.40 is: 275,342.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,672.92 : 285,211.74 = 199,521.40 : x
  2. Step 2: Convert to fraction form
    206,672.92/285,211.74 = 199,521.40/x
  3. Step 3: Cross multiply
    206,672.92x = 285,211.74 × 199,521.40
  4. Step 4: Simplify right side
    206,672.92x = 56,905,845,661.24
  5. Step 5: Solve for x
    x = 56,905,845,661.24/206,672.92
  6. Step 6: Final answer
    x = 275,342.53

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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.