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Finding the Fourth Proportional to 189,223.29, 261,191.39 and 112,766.38

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Solution

The fourth proportional to 189,223.29, 261,191.39 and 112,766.38 is: 155,655.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,223.29 : 261,191.39 = 112,766.38 : x
  2. Step 2: Convert to fraction form
    189,223.29/261,191.39 = 112,766.38/x
  3. Step 3: Cross multiply
    189,223.29x = 261,191.39 × 112,766.38
  4. Step 4: Simplify right side
    189,223.29x = 29,453,606,320.66
  5. Step 5: Solve for x
    x = 29,453,606,320.66/189,223.29
  6. Step 6: Final answer
    x = 155,655.29

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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.