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Finding the Fourth Proportional to 206,545.98, 285,032.66 and 115,901.73

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Solution

The fourth proportional to 206,545.98, 285,032.66 and 115,901.73 is: 159,943.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,545.98 : 285,032.66 = 115,901.73 : x
  2. Step 2: Convert to fraction form
    206,545.98/285,032.66 = 115,901.73/x
  3. Step 3: Cross multiply
    206,545.98x = 285,032.66 × 115,901.73
  4. Step 4: Simplify right side
    206,545.98x = 33,035,777,820.99
  5. Step 5: Solve for x
    x = 33,035,777,820.99/206,545.98
  6. Step 6: Final answer
    x = 159,943.94

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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.