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Finding the Fourth Proportional to 189,898.29, 262,125.56 and 109,357.90

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Solution

The fourth proportional to 189,898.29, 262,125.56 and 109,357.90 is: 150,951.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,898.29 : 262,125.56 = 109,357.90 : x
  2. Step 2: Convert to fraction form
    189,898.29/262,125.56 = 109,357.90/x
  3. Step 3: Cross multiply
    189,898.29x = 262,125.56 × 109,357.90
  4. Step 4: Simplify right side
    189,898.29x = 28,665,500,396.00
  5. Step 5: Solve for x
    x = 28,665,500,396.00/189,898.29
  6. Step 6: Final answer
    x = 150,951.86

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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.