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Finding the Fourth Proportional to 266,435.38, 399,849.90 and 126,194

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Solution

The fourth proportional to 266,435.38, 399,849.90 and 126,194 is: 189,384.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    266,435.38 : 399,849.90 = 126,194 : x
  2. Step 2: Convert to fraction form
    266,435.38/399,849.90 = 126,194/x
  3. Step 3: Cross multiply
    266,435.38x = 399,849.90 × 126,194
  4. Step 4: Simplify right side
    266,435.38x = 50,458,658,280.60
  5. Step 5: Solve for x
    x = 50,458,658,280.60/266,435.38
  6. Step 6: Final answer
    x = 189,384.23

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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.