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Finding the Fourth Proportional to 271,026.16, 374,011.12 and 150,167

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Solution

The fourth proportional to 271,026.16, 374,011.12 and 150,167 is: 207,227.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    271,026.16 : 374,011.12 = 150,167 : x
  2. Step 2: Convert to fraction form
    271,026.16/374,011.12 = 150,167/x
  3. Step 3: Cross multiply
    271,026.16x = 374,011.12 × 150,167
  4. Step 4: Simplify right side
    271,026.16x = 56,164,127,857.04
  5. Step 5: Solve for x
    x = 56,164,127,857.04/271,026.16
  6. Step 6: Final answer
    x = 207,227.70

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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.