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Finding the Fourth Proportional to 263,969.68, 364,273.40 and 149,246.34

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Solution

The fourth proportional to 263,969.68, 364,273.40 and 149,246.34 is: 205,957.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    263,969.68 : 364,273.40 = 149,246.34 : x
  2. Step 2: Convert to fraction form
    263,969.68/364,273.40 = 149,246.34/x
  3. Step 3: Cross multiply
    263,969.68x = 364,273.40 × 149,246.34
  4. Step 4: Simplify right side
    263,969.68x = 54,366,471,709.36
  5. Step 5: Solve for x
    x = 54,366,471,709.36/263,969.68
  6. Step 6: Final answer
    x = 205,957.26

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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.