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Finding the Fourth Proportional to 206,830.08, 310,211.28 and 73,690.56

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Solution

The fourth proportional to 206,830.08, 310,211.28 and 73,690.56 is: 110,523.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,830.08 : 310,211.28 = 73,690.56 : x
  2. Step 2: Convert to fraction form
    206,830.08/310,211.28 = 73,690.56/x
  3. Step 3: Cross multiply
    206,830.08x = 310,211.28 × 73,690.56
  4. Step 4: Simplify right side
    206,830.08x = 22,859,642,941.52
  5. Step 5: Solve for x
    x = 22,859,642,941.52/206,830.08
  6. Step 6: Final answer
    x = 110,523.78

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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.