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Finding the Fourth Proportional to 194,487.44, 291,725.60 and 106,299.48

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Solution

The fourth proportional to 194,487.44, 291,725.60 and 106,299.48 is: 159,446.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,487.44 : 291,725.60 = 106,299.48 : x
  2. Step 2: Convert to fraction form
    194,487.44/291,725.60 = 106,299.48/x
  3. Step 3: Cross multiply
    194,487.44x = 291,725.60 × 106,299.48
  4. Step 4: Simplify right side
    194,487.44x = 31,010,279,582.69
  5. Step 5: Solve for x
    x = 31,010,279,582.69/194,487.44
  6. Step 6: Final answer
    x = 159,446.18

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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.