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Finding the Fourth Proportional to 206,415.30, 284,589.43 and 133,689.72

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Solution

The fourth proportional to 206,415.30, 284,589.43 and 133,689.72 is: 184,321.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,415.30 : 284,589.43 = 133,689.72 : x
  2. Step 2: Convert to fraction form
    206,415.30/284,589.43 = 133,689.72/x
  3. Step 3: Cross multiply
    206,415.30x = 284,589.43 × 133,689.72
  4. Step 4: Simplify right side
    206,415.30x = 38,046,681,211.66
  5. Step 5: Solve for x
    x = 38,046,681,211.66/206,415.30
  6. Step 6: Final answer
    x = 184,321.03

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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.