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Finding the Fourth Proportional to 223,586.60, 335,379.90 and 105,218.60

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Solution

The fourth proportional to 223,586.60, 335,379.90 and 105,218.60 is: 157,827.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    223,586.60 : 335,379.90 = 105,218.60 : x
  2. Step 2: Convert to fraction form
    223,586.60/335,379.90 = 105,218.60/x
  3. Step 3: Cross multiply
    223,586.60x = 335,379.90 × 105,218.60
  4. Step 4: Simplify right side
    223,586.60x = 35,288,203,546.14
  5. Step 5: Solve for x
    x = 35,288,203,546.14/223,586.60
  6. Step 6: Final answer
    x = 157,827.90

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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.