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Finding the Fourth Proportional to 194,624.80, 291,706.80 and 82,304.80

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Solution

The fourth proportional to 194,624.80, 291,706.80 and 82,304.80 is: 123,359.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,624.80 : 291,706.80 = 82,304.80 : x
  2. Step 2: Convert to fraction form
    194,624.80/291,706.80 = 82,304.80/x
  3. Step 3: Cross multiply
    194,624.80x = 291,706.80 × 82,304.80
  4. Step 4: Simplify right side
    194,624.80x = 24,008,869,832.64
  5. Step 5: Solve for x
    x = 24,008,869,832.64/194,624.80
  6. Step 6: Final answer
    x = 123,359.77

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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.