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Finding the Fourth Proportional to 206,180.16, 284,689.44 and 158,357.76

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Solution

The fourth proportional to 206,180.16, 284,689.44 and 158,357.76 is: 218,657.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,180.16 : 284,689.44 = 158,357.76 : x
  2. Step 2: Convert to fraction form
    206,180.16/284,689.44 = 158,357.76/x
  3. Step 3: Cross multiply
    206,180.16x = 284,689.44 × 158,357.76
  4. Step 4: Simplify right side
    206,180.16x = 45,082,782,014.05
  5. Step 5: Solve for x
    x = 45,082,782,014.05/206,180.16
  6. Step 6: Final answer
    x = 218,657.23

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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.