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Finding the Fourth Proportional to 194,953.44, 291,764.76 and 163,399.10

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Solution

The fourth proportional to 194,953.44, 291,764.76 and 163,399.10 is: 244,540.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,953.44 : 291,764.76 = 163,399.10 : x
  2. Step 2: Convert to fraction form
    194,953.44/291,764.76 = 163,399.10/x
  3. Step 3: Cross multiply
    194,953.44x = 291,764.76 × 163,399.10
  4. Step 4: Simplify right side
    194,953.44x = 47,674,099,195.72
  5. Step 5: Solve for x
    x = 47,674,099,195.72/194,953.44
  6. Step 6: Final answer
    x = 244,540.95

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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.