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Finding the Fourth Proportional to 194,311.96, 291,412.04 and 82,017.48

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Solution

The fourth proportional to 194,311.96, 291,412.04 and 82,017.48 is: 123,002.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,311.96 : 291,412.04 = 82,017.48 : x
  2. Step 2: Convert to fraction form
    194,311.96/291,412.04 = 82,017.48/x
  3. Step 3: Cross multiply
    194,311.96x = 291,412.04 × 82,017.48
  4. Step 4: Simplify right side
    194,311.96x = 23,900,881,162.46
  5. Step 5: Solve for x
    x = 23,900,881,162.46/194,311.96
  6. Step 6: Final answer
    x = 123,002.63

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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.