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Finding the Fourth Proportional to 271,133.84, 374,164.72 and 150,282.88

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Solution

The fourth proportional to 271,133.84, 374,164.72 and 150,282.88 is: 207,390.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    271,133.84 : 374,164.72 = 150,282.88 : x
  2. Step 2: Convert to fraction form
    271,133.84/374,164.72 = 150,282.88/x
  3. Step 3: Cross multiply
    271,133.84x = 374,164.72 × 150,282.88
  4. Step 4: Simplify right side
    271,133.84x = 56,230,551,715.99
  5. Step 5: Solve for x
    x = 56,230,551,715.99/271,133.84
  6. Step 6: Final answer
    x = 207,390.39

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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.