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Finding the Fourth Proportional to 187,768.64, 281,664.41 and 61,422.24

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Solution

The fourth proportional to 187,768.64, 281,664.41 and 61,422.24 is: 92,137.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    187,768.64 : 281,664.41 = 61,422.24 : x
  2. Step 2: Convert to fraction form
    187,768.64/281,664.41 = 61,422.24/x
  3. Step 3: Cross multiply
    187,768.64x = 281,664.41 × 61,422.24
  4. Step 4: Simplify right side
    187,768.64x = 17,300,458,277.41
  5. Step 5: Solve for x
    x = 17,300,458,277.41/187,768.64
  6. Step 6: Final answer
    x = 92,137.10

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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.