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Finding the Fourth Proportional to 135,714.60, 203,766.30 and 76,665.60

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Solution

The fourth proportional to 135,714.60, 203,766.30 and 76,665.60 is: 115,108.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,714.60 : 203,766.30 = 76,665.60 : x
  2. Step 2: Convert to fraction form
    135,714.60/203,766.30 = 76,665.60/x
  3. Step 3: Cross multiply
    135,714.60x = 203,766.30 × 76,665.60
  4. Step 4: Simplify right side
    135,714.60x = 15,621,865,649.28
  5. Step 5: Solve for x
    x = 15,621,865,649.28/135,714.60
  6. Step 6: Final answer
    x = 115,108.22

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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.