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Finding the Fourth Proportional to 267,413.04, 401,067.72 and 101,214

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Solution

The fourth proportional to 267,413.04, 401,067.72 and 101,214 is: 151,801.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    267,413.04 : 401,067.72 = 101,214 : x
  2. Step 2: Convert to fraction form
    267,413.04/401,067.72 = 101,214/x
  3. Step 3: Cross multiply
    267,413.04x = 401,067.72 × 101,214
  4. Step 4: Simplify right side
    267,413.04x = 40,593,668,212.08
  5. Step 5: Solve for x
    x = 40,593,668,212.08/267,413.04
  6. Step 6: Final answer
    x = 151,801.38

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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.