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Finding the Fourth Proportional to 204,424.68, 282,107.54 and 113,784.46

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Solution

The fourth proportional to 204,424.68, 282,107.54 and 113,784.46 is: 157,023.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,424.68 : 282,107.54 = 113,784.46 : x
  2. Step 2: Convert to fraction form
    204,424.68/282,107.54 = 113,784.46/x
  3. Step 3: Cross multiply
    204,424.68x = 282,107.54 × 113,784.46
  4. Step 4: Simplify right side
    204,424.68x = 32,099,454,100.83
  5. Step 5: Solve for x
    x = 32,099,454,100.83/204,424.68
  6. Step 6: Final answer
    x = 157,023.38

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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.