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Finding the Fourth Proportional to 171,067.60, 256,309.80 and 141,324.40

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Solution

The fourth proportional to 171,067.60, 256,309.80 and 141,324.40 is: 211,745.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    171,067.60 : 256,309.80 = 141,324.40 : x
  2. Step 2: Convert to fraction form
    171,067.60/256,309.80 = 141,324.40/x
  3. Step 3: Cross multiply
    171,067.60x = 256,309.80 × 141,324.40
  4. Step 4: Simplify right side
    171,067.60x = 36,222,828,699.12
  5. Step 5: Solve for x
    x = 36,222,828,699.12/171,067.60
  6. Step 6: Final answer
    x = 211,745.70

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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.