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Finding the Fourth Proportional to 194,491.50, 291,786.54 and 54,250.14

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Solution

The fourth proportional to 194,491.50, 291,786.54 and 54,250.14 is: 81,388.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,491.50 : 291,786.54 = 54,250.14 : x
  2. Step 2: Convert to fraction form
    194,491.50/291,786.54 = 54,250.14/x
  3. Step 3: Cross multiply
    194,491.50x = 291,786.54 × 54,250.14
  4. Step 4: Simplify right side
    194,491.50x = 15,829,460,645.12
  5. Step 5: Solve for x
    x = 15,829,460,645.12/194,491.50
  6. Step 6: Final answer
    x = 81,388.96

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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.