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Finding the Fourth Proportional to 194,047.86, 267,785.64 and 109,164.98

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Solution

The fourth proportional to 194,047.86, 267,785.64 and 109,164.98 is: 150,647.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,047.86 : 267,785.64 = 109,164.98 : x
  2. Step 2: Convert to fraction form
    194,047.86/267,785.64 = 109,164.98/x
  3. Step 3: Cross multiply
    194,047.86x = 267,785.64 × 109,164.98
  4. Step 4: Simplify right side
    194,047.86x = 29,232,814,034.89
  5. Step 5: Solve for x
    x = 29,232,814,034.89/194,047.86
  6. Step 6: Final answer
    x = 150,647.44

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.