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Finding the Fourth Proportional to 191,047.62, 263,647.26 and 119,469.14

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Solution

The fourth proportional to 191,047.62, 263,647.26 and 119,469.14 is: 164,868.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    191,047.62 : 263,647.26 = 119,469.14 : x
  2. Step 2: Convert to fraction form
    191,047.62/263,647.26 = 119,469.14/x
  3. Step 3: Cross multiply
    191,047.62x = 263,647.26 × 119,469.14
  4. Step 4: Simplify right side
    191,047.62x = 31,497,711,415.56
  5. Step 5: Solve for x
    x = 31,497,711,415.56/191,047.62
  6. Step 6: Final answer
    x = 164,868.38

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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.