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Finding the Fourth Proportional to 205,374.34, 283,413.46 and 114,731.60

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Solution

The fourth proportional to 205,374.34, 283,413.46 and 114,731.60 is: 158,327.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,374.34 : 283,413.46 = 114,731.60 : x
  2. Step 2: Convert to fraction form
    205,374.34/283,413.46 = 114,731.60/x
  3. Step 3: Cross multiply
    205,374.34x = 283,413.46 × 114,731.60
  4. Step 4: Simplify right side
    205,374.34x = 32,516,479,153.68
  5. Step 5: Solve for x
    x = 32,516,479,153.68/205,374.34
  6. Step 6: Final answer
    x = 158,327.86

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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.