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Finding the Fourth Proportional to 271,086.84, 374,114.82 and 150,225.60

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Solution

The fourth proportional to 271,086.84, 374,114.82 and 150,225.60 is: 207,319.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    271,086.84 : 374,114.82 = 150,225.60 : x
  2. Step 2: Convert to fraction form
    271,086.84/374,114.82 = 150,225.60/x
  3. Step 3: Cross multiply
    271,086.84x = 374,114.82 × 150,225.60
  4. Step 4: Simplify right side
    271,086.84x = 56,201,623,303.39
  5. Step 5: Solve for x
    x = 56,201,623,303.39/271,086.84
  6. Step 6: Final answer
    x = 207,319.63

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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.