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Finding the Fourth Proportional to 162,849.38, 224,732.14 and 91,229.38

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Solution

The fourth proportional to 162,849.38, 224,732.14 and 91,229.38 is: 125,896.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    162,849.38 : 224,732.14 = 91,229.38 : x
  2. Step 2: Convert to fraction form
    162,849.38/224,732.14 = 91,229.38/x
  3. Step 3: Cross multiply
    162,849.38x = 224,732.14 × 91,229.38
  4. Step 4: Simplify right side
    162,849.38x = 20,502,173,008.37
  5. Step 5: Solve for x
    x = 20,502,173,008.37/162,849.38
  6. Step 6: Final answer
    x = 125,896.54

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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.