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Finding the Fourth Proportional to 293,740.56, 405,346.08 and 166,413.36

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Solution

The fourth proportional to 293,740.56, 405,346.08 and 166,413.36 is: 229,641.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    293,740.56 : 405,346.08 = 166,413.36 : x
  2. Step 2: Convert to fraction form
    293,740.56/405,346.08 = 166,413.36/x
  3. Step 3: Cross multiply
    293,740.56x = 405,346.08 × 166,413.36
  4. Step 4: Simplify right side
    293,740.56x = 67,455,003,135.63
  5. Step 5: Solve for x
    x = 67,455,003,135.63/293,740.56
  6. Step 6: Final answer
    x = 229,641.43

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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.