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Finding the Fourth Proportional to 451,143, 676,714.50 and 135,600.21

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Solution

The fourth proportional to 451,143, 676,714.50 and 135,600.21 is: 203,400.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    451,143 : 676,714.50 = 135,600.21 : x
  2. Step 2: Convert to fraction form
    451,143/676,714.50 = 135,600.21/x
  3. Step 3: Cross multiply
    451,143x = 676,714.50 × 135,600.21
  4. Step 4: Simplify right side
    451,143x = 91,762,628,310.05
  5. Step 5: Solve for x
    x = 91,762,628,310.05/451,143
  6. Step 6: Final answer
    x = 203,400.32

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.