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Finding the Fourth Proportional to 194,744.70, 291,898.35 and 82,405.80

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Solution

The fourth proportional to 194,744.70, 291,898.35 and 82,405.80 is: 123,516.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,744.70 : 291,898.35 = 82,405.80 : x
  2. Step 2: Convert to fraction form
    194,744.70/291,898.35 = 82,405.80/x
  3. Step 3: Cross multiply
    194,744.70x = 291,898.35 × 82,405.80
  4. Step 4: Simplify right side
    194,744.70x = 24,054,117,050.43
  5. Step 5: Solve for x
    x = 24,054,117,050.43/194,744.70
  6. Step 6: Final answer
    x = 123,516.16

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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.