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Finding the Fourth Proportional to 293,765.75, 405,413.14 and 166,482.35

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Solution

The fourth proportional to 293,765.75, 405,413.14 and 166,482.35 is: 229,754.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    293,765.75 : 405,413.14 = 166,482.35 : x
  2. Step 2: Convert to fraction form
    293,765.75/405,413.14 = 166,482.35/x
  3. Step 3: Cross multiply
    293,765.75x = 405,413.14 × 166,482.35
  4. Step 4: Simplify right side
    293,765.75x = 67,494,132,268.08
  5. Step 5: Solve for x
    x = 67,494,132,268.08/293,765.75
  6. Step 6: Final answer
    x = 229,754.94

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.