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Finding the Fourth Proportional to 267,957.61, 401,413.95 and 149,271.55

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Solution

The fourth proportional to 267,957.61, 401,413.95 and 149,271.55 is: 223,616.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    267,957.61 : 401,413.95 = 149,271.55 : x
  2. Step 2: Convert to fraction form
    267,957.61/401,413.95 = 149,271.55/x
  3. Step 3: Cross multiply
    267,957.61x = 401,413.95 × 149,271.55
  4. Step 4: Simplify right side
    267,957.61x = 59,919,681,504.59
  5. Step 5: Solve for x
    x = 59,919,681,504.59/267,957.61
  6. Step 6: Final answer
    x = 223,616.27

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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.