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Finding the Fourth Proportional to 206,644.93, 309,671.38 and 117,714.81

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Solution

The fourth proportional to 206,644.93, 309,671.38 and 117,714.81 is: 176,403.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,644.93 : 309,671.38 = 117,714.81 : x
  2. Step 2: Convert to fraction form
    206,644.93/309,671.38 = 117,714.81/x
  3. Step 3: Cross multiply
    206,644.93x = 309,671.38 × 117,714.81
  4. Step 4: Simplify right side
    206,644.93x = 36,452,907,659.14
  5. Step 5: Solve for x
    x = 36,452,907,659.14/206,644.93
  6. Step 6: Final answer
    x = 176,403.59

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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.