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Finding the Fourth Proportional to 269,059.41, 403,312.19 and 119,370.20

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Solution

The fourth proportional to 269,059.41, 403,312.19 and 119,370.20 is: 178,932.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    269,059.41 : 403,312.19 = 119,370.20 : x
  2. Step 2: Convert to fraction form
    269,059.41/403,312.19 = 119,370.20/x
  3. Step 3: Cross multiply
    269,059.41x = 403,312.19 × 119,370.20
  4. Step 4: Simplify right side
    269,059.41x = 48,143,454,169.33
  5. Step 5: Solve for x
    x = 48,143,454,169.33/269,059.41
  6. Step 6: Final answer
    x = 178,932.43

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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.