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Finding the Fourth Proportional to 114,209.52, 171,215.74 and 54,963.68

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Solution

The fourth proportional to 114,209.52, 171,215.74 and 54,963.68 is: 82,398.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,209.52 : 171,215.74 = 54,963.68 : x
  2. Step 2: Convert to fraction form
    114,209.52/171,215.74 = 54,963.68/x
  3. Step 3: Cross multiply
    114,209.52x = 171,215.74 × 54,963.68
  4. Step 4: Simplify right side
    114,209.52x = 9,410,647,144.32
  5. Step 5: Solve for x
    x = 9,410,647,144.32/114,209.52
  6. Step 6: Final answer
    x = 82,398.10

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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.