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Finding the Fourth Proportional to 257,036.84, 354,914.82 and 171,078.44

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Solution

The fourth proportional to 257,036.84, 354,914.82 and 171,078.44 is: 236,224.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,036.84 : 354,914.82 = 171,078.44 : x
  2. Step 2: Convert to fraction form
    257,036.84/354,914.82 = 171,078.44/x
  3. Step 3: Cross multiply
    257,036.84x = 354,914.82 × 171,078.44
  4. Step 4: Simplify right side
    257,036.84x = 60,718,273,738.48
  5. Step 5: Solve for x
    x = 60,718,273,738.48/257,036.84
  6. Step 6: Final answer
    x = 236,224.01

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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.