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Finding the Fourth Proportional to 189,414.51, 261,391.50 and 104,530.97

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Solution

The fourth proportional to 189,414.51, 261,391.50 and 104,530.97 is: 144,252.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,414.51 : 261,391.50 = 104,530.97 : x
  2. Step 2: Convert to fraction form
    189,414.51/261,391.50 = 104,530.97/x
  3. Step 3: Cross multiply
    189,414.51x = 261,391.50 × 104,530.97
  4. Step 4: Simplify right side
    189,414.51x = 27,323,505,737.80
  5. Step 5: Solve for x
    x = 27,323,505,737.80/189,414.51
  6. Step 6: Final answer
    x = 144,252.44

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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.