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Finding the Fourth Proportional to 400,149.46, 600,298.10 and 126,664.50

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Solution

The fourth proportional to 400,149.46, 600,298.10 and 126,664.50 is: 190,020.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    400,149.46 : 600,298.10 = 126,664.50 : x
  2. Step 2: Convert to fraction form
    400,149.46/600,298.10 = 126,664.50/x
  3. Step 3: Cross multiply
    400,149.46x = 600,298.10 × 126,664.50
  4. Step 4: Simplify right side
    400,149.46x = 76,036,458,687.45
  5. Step 5: Solve for x
    x = 76,036,458,687.45/400,149.46
  6. Step 6: Final answer
    x = 190,020.15

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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.