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Finding the Fourth Proportional to 271,211, 374,271.16 and 150,351.98

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Solution

The fourth proportional to 271,211, 374,271.16 and 150,351.98 is: 207,485.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    271,211 : 374,271.16 = 150,351.98 : x
  2. Step 2: Convert to fraction form
    271,211/374,271.16 = 150,351.98/x
  3. Step 3: Cross multiply
    271,211x = 374,271.16 × 150,351.98
  4. Step 4: Simplify right side
    271,211x = 56,272,409,962.90
  5. Step 5: Solve for x
    x = 56,272,409,962.90/271,211
  6. Step 6: Final answer
    x = 207,485.72

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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.