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Finding the Fourth Proportional to 206,838.72, 285,437.16 and 116,197.20

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Solution

The fourth proportional to 206,838.72, 285,437.16 and 116,197.20 is: 160,351.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,838.72 : 285,437.16 = 116,197.20 : x
  2. Step 2: Convert to fraction form
    206,838.72/285,437.16 = 116,197.20/x
  3. Step 3: Cross multiply
    206,838.72x = 285,437.16 × 116,197.20
  4. Step 4: Simplify right side
    206,838.72x = 33,166,998,767.95
  5. Step 5: Solve for x
    x = 33,166,998,767.95/206,838.72
  6. Step 6: Final answer
    x = 160,351.98

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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.