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Finding the Fourth Proportional to 229,413.28, 343,986 and 89,007.88

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Solution

The fourth proportional to 229,413.28, 343,986 and 89,007.88 is: 133,459.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    229,413.28 : 343,986 = 89,007.88 : x
  2. Step 2: Convert to fraction form
    229,413.28/343,986 = 89,007.88/x
  3. Step 3: Cross multiply
    229,413.28x = 343,986 × 89,007.88
  4. Step 4: Simplify right side
    229,413.28x = 30,617,464,609.68
  5. Step 5: Solve for x
    x = 30,617,464,609.68/229,413.28
  6. Step 6: Final answer
    x = 133,459.86

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.