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Finding the Fourth Proportional to 269,205.66, 403,427.32 and 149,315.20

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Solution

The fourth proportional to 269,205.66, 403,427.32 and 149,315.20 is: 223,761.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    269,205.66 : 403,427.32 = 149,315.20 : x
  2. Step 2: Convert to fraction form
    269,205.66/403,427.32 = 149,315.20/x
  3. Step 3: Cross multiply
    269,205.66x = 403,427.32 × 149,315.20
  4. Step 4: Simplify right side
    269,205.66x = 60,237,829,589.41
  5. Step 5: Solve for x
    x = 60,237,829,589.41/269,205.66
  6. Step 6: Final answer
    x = 223,761.38

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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.