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Finding the Fourth Proportional to 204,900.68, 282,790.68 and 120,051.56

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Solution

The fourth proportional to 204,900.68, 282,790.68 and 120,051.56 is: 165,687.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,900.68 : 282,790.68 = 120,051.56 : x
  2. Step 2: Convert to fraction form
    204,900.68/282,790.68 = 120,051.56/x
  3. Step 3: Cross multiply
    204,900.68x = 282,790.68 × 120,051.56
  4. Step 4: Simplify right side
    204,900.68x = 33,949,462,544.24
  5. Step 5: Solve for x
    x = 33,949,462,544.24/204,900.68
  6. Step 6: Final answer
    x = 165,687.41

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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.