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Finding the Fourth Proportional to 194,453.50, 268,346.01 and 105,029.50

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Solution

The fourth proportional to 194,453.50, 268,346.01 and 105,029.50 is: 144,940.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,453.50 : 268,346.01 = 105,029.50 : x
  2. Step 2: Convert to fraction form
    194,453.50/268,346.01 = 105,029.50/x
  3. Step 3: Cross multiply
    194,453.50x = 268,346.01 × 105,029.50
  4. Step 4: Simplify right side
    194,453.50x = 28,184,247,257.30
  5. Step 5: Solve for x
    x = 28,184,247,257.30/194,453.50
  6. Step 6: Final answer
    x = 144,940.81

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.