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Finding the Fourth Proportional to 194,572.32, 291,971.03 and 82,245.27

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Solution

The fourth proportional to 194,572.32, 291,971.03 and 82,245.27 is: 123,415.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,572.32 : 291,971.03 = 82,245.27 : x
  2. Step 2: Convert to fraction form
    194,572.32/291,971.03 = 82,245.27/x
  3. Step 3: Cross multiply
    194,572.32x = 291,971.03 × 82,245.27
  4. Step 4: Simplify right side
    194,572.32x = 24,013,235,783.30
  5. Step 5: Solve for x
    x = 24,013,235,783.30/194,572.32
  6. Step 6: Final answer
    x = 123,415.48

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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.