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Finding the Fourth Proportional to 189,454.38, 261,447.06 and 104,571.46

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Solution

The fourth proportional to 189,454.38, 261,447.06 and 104,571.46 is: 144,308.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,454.38 : 261,447.06 = 104,571.46 : x
  2. Step 2: Convert to fraction form
    189,454.38/261,447.06 = 104,571.46/x
  3. Step 3: Cross multiply
    189,454.38x = 261,447.06 × 104,571.46
  4. Step 4: Simplify right side
    189,454.38x = 27,339,900,776.91
  5. Step 5: Solve for x
    x = 27,339,900,776.91/189,454.38
  6. Step 6: Final answer
    x = 144,308.62

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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.