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Finding the Fourth Proportional to 206,596.06, 309,853.29 and 56,797.72

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Solution

The fourth proportional to 206,596.06, 309,853.29 and 56,797.72 is: 85,185.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,596.06 : 309,853.29 = 56,797.72 : x
  2. Step 2: Convert to fraction form
    206,596.06/309,853.29 = 56,797.72/x
  3. Step 3: Cross multiply
    206,596.06x = 309,853.29 × 56,797.72
  4. Step 4: Simplify right side
    206,596.06x = 17,598,960,406.50
  5. Step 5: Solve for x
    x = 17,598,960,406.50/206,596.06
  6. Step 6: Final answer
    x = 85,185.36

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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.