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Finding the Fourth Proportional to 271,114.16, 374,131.16 and 157,929.60

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Solution

The fourth proportional to 271,114.16, 374,131.16 and 157,929.60 is: 217,939.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    271,114.16 : 374,131.16 = 157,929.60 : x
  2. Step 2: Convert to fraction form
    271,114.16/374,131.16 = 157,929.60/x
  3. Step 3: Cross multiply
    271,114.16x = 374,131.16 × 157,929.60
  4. Step 4: Simplify right side
    271,114.16x = 59,086,384,446.34
  5. Step 5: Solve for x
    x = 59,086,384,446.34/271,114.16
  6. Step 6: Final answer
    x = 217,939.13

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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.