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Finding the Fourth Proportional to 192,076.40, 287,531.40 and 171,081.20

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Solution

The fourth proportional to 192,076.40, 287,531.40 and 171,081.20 is: 256,102.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    192,076.40 : 287,531.40 = 171,081.20 : x
  2. Step 2: Convert to fraction form
    192,076.40/287,531.40 = 171,081.20/x
  3. Step 3: Cross multiply
    192,076.40x = 287,531.40 × 171,081.20
  4. Step 4: Simplify right side
    192,076.40x = 49,191,216,949.68
  5. Step 5: Solve for x
    x = 49,191,216,949.68/192,076.40
  6. Step 6: Final answer
    x = 256,102.35

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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.