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Finding the Fourth Proportional to 200,019.94, 276,042 and 119,450.86

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Solution

The fourth proportional to 200,019.94, 276,042 and 119,450.86 is: 164,850.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,019.94 : 276,042 = 119,450.86 : x
  2. Step 2: Convert to fraction form
    200,019.94/276,042 = 119,450.86/x
  3. Step 3: Cross multiply
    200,019.94x = 276,042 × 119,450.86
  4. Step 4: Simplify right side
    200,019.94x = 32,973,454,296.12
  5. Step 5: Solve for x
    x = 32,973,454,296.12/200,019.94
  6. Step 6: Final answer
    x = 164,850.84

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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.