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Finding the Fourth Proportional to 206,053.67, 284,320.94 and 115,413.46

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Solution

The fourth proportional to 206,053.67, 284,320.94 and 115,413.46 is: 159,252.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,053.67 : 284,320.94 = 115,413.46 : x
  2. Step 2: Convert to fraction form
    206,053.67/284,320.94 = 115,413.46/x
  3. Step 3: Cross multiply
    206,053.67x = 284,320.94 × 115,413.46
  4. Step 4: Simplify right side
    206,053.67x = 32,814,462,147.98
  5. Step 5: Solve for x
    x = 32,814,462,147.98/206,053.67
  6. Step 6: Final answer
    x = 159,252.01

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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.