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Finding the Fourth Proportional to 206,166.66, 309,213.45 and 93,820.74

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Solution

The fourth proportional to 206,166.66, 309,213.45 and 93,820.74 is: 140,714.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,166.66 : 309,213.45 = 93,820.74 : x
  2. Step 2: Convert to fraction form
    206,166.66/309,213.45 = 93,820.74/x
  3. Step 3: Cross multiply
    206,166.66x = 309,213.45 × 93,820.74
  4. Step 4: Simplify right side
    206,166.66x = 29,010,634,696.95
  5. Step 5: Solve for x
    x = 29,010,634,696.95/206,166.66
  6. Step 6: Final answer
    x = 140,714.48

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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.