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Finding the Fourth Proportional to 194,908.68, 292,399.88 and 61,822.44

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Solution

The fourth proportional to 194,908.68, 292,399.88 and 61,822.44 is: 92,745.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,908.68 : 292,399.88 = 61,822.44 : x
  2. Step 2: Convert to fraction form
    194,908.68/292,399.88 = 61,822.44/x
  3. Step 3: Cross multiply
    194,908.68x = 292,399.88 × 61,822.44
  4. Step 4: Simplify right side
    194,908.68x = 18,076,873,728.20
  5. Step 5: Solve for x
    x = 18,076,873,728.20/194,908.68
  6. Step 6: Final answer
    x = 92,745.35

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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.