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Finding the Fourth Proportional to 189,695.82, 261,834.78 and 125,212.12

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Solution

The fourth proportional to 189,695.82, 261,834.78 and 125,212.12 is: 172,828.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,695.82 : 261,834.78 = 125,212.12 : x
  2. Step 2: Convert to fraction form
    189,695.82/261,834.78 = 125,212.12/x
  3. Step 3: Cross multiply
    189,695.82x = 261,834.78 × 125,212.12
  4. Step 4: Simplify right side
    189,695.82x = 32,784,887,893.53
  5. Step 5: Solve for x
    x = 32,784,887,893.53/189,695.82
  6. Step 6: Final answer
    x = 172,828.73

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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.