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Finding the Fourth Proportional to 273,804.24, 410,836.92 and 149,142.48

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Solution

The fourth proportional to 273,804.24, 410,836.92 and 149,142.48 is: 223,784.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    273,804.24 : 410,836.92 = 149,142.48 : x
  2. Step 2: Convert to fraction form
    273,804.24/410,836.92 = 149,142.48/x
  3. Step 3: Cross multiply
    273,804.24x = 410,836.92 × 149,142.48
  4. Step 4: Simplify right side
    273,804.24x = 61,273,237,124.36
  5. Step 5: Solve for x
    x = 61,273,237,124.36/273,804.24
  6. Step 6: Final answer
    x = 223,784.84

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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.