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Finding the Fourth Proportional to 206,687.70, 310,031.55 and 171,695.70

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Solution

The fourth proportional to 206,687.70, 310,031.55 and 171,695.70 is: 257,543.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,687.70 : 310,031.55 = 171,695.70 : x
  2. Step 2: Convert to fraction form
    206,687.70/310,031.55 = 171,695.70/x
  3. Step 3: Cross multiply
    206,687.70x = 310,031.55 × 171,695.70
  4. Step 4: Simplify right side
    206,687.70x = 53,231,083,999.34
  5. Step 5: Solve for x
    x = 53,231,083,999.34/206,687.70
  6. Step 6: Final answer
    x = 257,543.55

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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.