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Finding the Fourth Proportional to 271,549.39, 407,192.55 and 159,266.38

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Solution

The fourth proportional to 271,549.39, 407,192.55 and 159,266.38 is: 238,822.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    271,549.39 : 407,192.55 = 159,266.38 : x
  2. Step 2: Convert to fraction form
    271,549.39/407,192.55 = 159,266.38/x
  3. Step 3: Cross multiply
    271,549.39x = 407,192.55 × 159,266.38
  4. Step 4: Simplify right side
    271,549.39x = 64,852,083,401.47
  5. Step 5: Solve for x
    x = 64,852,083,401.47/271,549.39
  6. Step 6: Final answer
    x = 238,822.42

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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.