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Finding the Fourth Proportional to 189,628.38, 261,684.90 and 103,586.31

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Solution

The fourth proportional to 189,628.38, 261,684.90 and 103,586.31 is: 142,947.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,628.38 : 261,684.90 = 103,586.31 : x
  2. Step 2: Convert to fraction form
    189,628.38/261,684.90 = 103,586.31/x
  3. Step 3: Cross multiply
    189,628.38x = 261,684.90 × 103,586.31
  4. Step 4: Simplify right side
    189,628.38x = 27,106,973,173.72
  5. Step 5: Solve for x
    x = 27,106,973,173.72/189,628.38
  6. Step 6: Final answer
    x = 142,947.87

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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.