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Finding the Fourth Proportional to 264,413.28, 396,282.96 and 123,862.08

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Solution

The fourth proportional to 264,413.28, 396,282.96 and 123,862.08 is: 185,635.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    264,413.28 : 396,282.96 = 123,862.08 : x
  2. Step 2: Convert to fraction form
    264,413.28/396,282.96 = 123,862.08/x
  3. Step 3: Cross multiply
    264,413.28x = 396,282.96 × 123,862.08
  4. Step 4: Simplify right side
    264,413.28x = 49,084,431,694.16
  5. Step 5: Solve for x
    x = 49,084,431,694.16/264,413.28
  6. Step 6: Final answer
    x = 185,635.27

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Why These Related Problems?

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