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Finding the Fourth Proportional to 194,311.92, 291,478.32 and 61,202.59

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Solution

The fourth proportional to 194,311.92, 291,478.32 and 61,202.59 is: 91,807.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,311.92 : 291,478.32 = 61,202.59 : x
  2. Step 2: Convert to fraction form
    194,311.92/291,478.32 = 61,202.59/x
  3. Step 3: Cross multiply
    194,311.92x = 291,478.32 × 61,202.59
  4. Step 4: Simplify right side
    194,311.92x = 17,839,228,112.85
  5. Step 5: Solve for x
    x = 17,839,228,112.85/194,311.92
  6. Step 6: Final answer
    x = 91,807.18

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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.