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Finding the Fourth Proportional to 164,792.50, 227,413.65 and 89,341

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Solution

The fourth proportional to 164,792.50, 227,413.65 and 89,341 is: 123,290.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,792.50 : 227,413.65 = 89,341 : x
  2. Step 2: Convert to fraction form
    164,792.50/227,413.65 = 89,341/x
  3. Step 3: Cross multiply
    164,792.50x = 227,413.65 × 89,341
  4. Step 4: Simplify right side
    164,792.50x = 20,317,362,904.65
  5. Step 5: Solve for x
    x = 20,317,362,904.65/164,792.50
  6. Step 6: Final answer
    x = 123,290.58

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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.