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Finding the Fourth Proportional to 109,714.80, 164,572.20 and 82,066.80

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Solution

The fourth proportional to 109,714.80, 164,572.20 and 82,066.80 is: 123,100.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,714.80 : 164,572.20 = 82,066.80 : x
  2. Step 2: Convert to fraction form
    109,714.80/164,572.20 = 82,066.80/x
  3. Step 3: Cross multiply
    109,714.80x = 164,572.20 × 82,066.80
  4. Step 4: Simplify right side
    109,714.80x = 13,505,913,822.96
  5. Step 5: Solve for x
    x = 13,505,913,822.96/109,714.80
  6. Step 6: Final answer
    x = 123,100.20

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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.