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Finding the Fourth Proportional to 206,110.44, 309,311.71 and 93,805.11

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Solution

The fourth proportional to 206,110.44, 309,311.71 and 93,805.11 is: 140,774.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,110.44 : 309,311.71 = 93,805.11 : x
  2. Step 2: Convert to fraction form
    206,110.44/309,311.71 = 93,805.11/x
  3. Step 3: Cross multiply
    206,110.44x = 309,311.71 × 93,805.11
  4. Step 4: Simplify right side
    206,110.44x = 29,015,018,746.33
  5. Step 5: Solve for x
    x = 29,015,018,746.33/206,110.44
  6. Step 6: Final answer
    x = 140,774.13

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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.