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Finding the Fourth Proportional to 270,334.20, 373,045.16 and 149,466

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Solution

The fourth proportional to 270,334.20, 373,045.16 and 149,466 is: 206,254.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    270,334.20 : 373,045.16 = 149,466 : x
  2. Step 2: Convert to fraction form
    270,334.20/373,045.16 = 149,466/x
  3. Step 3: Cross multiply
    270,334.20x = 373,045.16 × 149,466
  4. Step 4: Simplify right side
    270,334.20x = 55,757,567,884.56
  5. Step 5: Solve for x
    x = 55,757,567,884.56/270,334.20
  6. Step 6: Final answer
    x = 206,254.21

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.