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Finding the Fourth Proportional to 271,271.78, 374,353.22 and 150,413.12

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Solution

The fourth proportional to 271,271.78, 374,353.22 and 150,413.12 is: 207,569.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    271,271.78 : 374,353.22 = 150,413.12 : x
  2. Step 2: Convert to fraction form
    271,271.78/374,353.22 = 150,413.12/x
  3. Step 3: Cross multiply
    271,271.78x = 374,353.22 × 150,413.12
  4. Step 4: Simplify right side
    271,271.78x = 56,307,635,050.18
  5. Step 5: Solve for x
    x = 56,307,635,050.18/271,271.78
  6. Step 6: Final answer
    x = 207,569.08

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.