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Finding the Fourth Proportional to 263,945.64, 364,159.35 and 149,213.19

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Solution

The fourth proportional to 263,945.64, 364,159.35 and 149,213.19 is: 205,865.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    263,945.64 : 364,159.35 = 149,213.19 : x
  2. Step 2: Convert to fraction form
    263,945.64/364,159.35 = 149,213.19/x
  3. Step 3: Cross multiply
    263,945.64x = 364,159.35 × 149,213.19
  4. Step 4: Simplify right side
    263,945.64x = 54,337,378,281.83
  5. Step 5: Solve for x
    x = 54,337,378,281.83/263,945.64
  6. Step 6: Final answer
    x = 205,865.79

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