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Finding the Fourth Proportional to 205,413.86, 283,442.94 and 114,758.58

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Solution

The fourth proportional to 205,413.86, 283,442.94 and 114,758.58 is: 158,351.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,413.86 : 283,442.94 = 114,758.58 : x
  2. Step 2: Convert to fraction form
    205,413.86/283,442.94 = 114,758.58/x
  3. Step 3: Cross multiply
    205,413.86x = 283,442.94 × 114,758.58
  4. Step 4: Simplify right side
    205,413.86x = 32,527,509,305.43
  5. Step 5: Solve for x
    x = 32,527,509,305.43/205,413.86
  6. Step 6: Final answer
    x = 158,351.09

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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.