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Finding the Fourth Proportional to 189,225.29, 261,194.15 and 112,768.38

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Solution

The fourth proportional to 189,225.29, 261,194.15 and 112,768.38 is: 155,658.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,225.29 : 261,194.15 = 112,768.38 : x
  2. Step 2: Convert to fraction form
    189,225.29/261,194.15 = 112,768.38/x
  3. Step 3: Cross multiply
    189,225.29x = 261,194.15 × 112,768.38
  4. Step 4: Simplify right side
    189,225.29x = 29,454,441,160.98
  5. Step 5: Solve for x
    x = 29,454,441,160.98/189,225.29
  6. Step 6: Final answer
    x = 155,658.06

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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.