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Finding the Fourth Proportional to 194,944.50, 269,024.22 and 105,520.50

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Solution

The fourth proportional to 194,944.50, 269,024.22 and 105,520.50 is: 145,618.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,944.50 : 269,024.22 = 105,520.50 : x
  2. Step 2: Convert to fraction form
    194,944.50/269,024.22 = 105,520.50/x
  3. Step 3: Cross multiply
    194,944.50x = 269,024.22 × 105,520.50
  4. Step 4: Simplify right side
    194,944.50x = 28,387,570,206.51
  5. Step 5: Solve for x
    x = 28,387,570,206.51/194,944.50
  6. Step 6: Final answer
    x = 145,618.73

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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.