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Finding the Fourth Proportional to 271,749.78, 407,345.49 and 94,159.44

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Solution

The fourth proportional to 271,749.78, 407,345.49 and 94,159.44 is: 141,142.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    271,749.78 : 407,345.49 = 94,159.44 : x
  2. Step 2: Convert to fraction form
    271,749.78/407,345.49 = 94,159.44/x
  3. Step 3: Cross multiply
    271,749.78x = 407,345.49 × 94,159.44
  4. Step 4: Simplify right side
    271,749.78x = 38,355,423,224.93
  5. Step 5: Solve for x
    x = 38,355,423,224.93/271,749.78
  6. Step 6: Final answer
    x = 141,142.43

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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.