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Finding the Fourth Proportional to 191,149, 263,792.38 and 105,114.54

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Solution

The fourth proportional to 191,149, 263,792.38 and 105,114.54 is: 145,061.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    191,149 : 263,792.38 = 105,114.54 : x
  2. Step 2: Convert to fraction form
    191,149/263,792.38 = 105,114.54/x
  3. Step 3: Cross multiply
    191,149x = 263,792.38 × 105,114.54
  4. Step 4: Simplify right side
    191,149x = 27,728,414,679.21
  5. Step 5: Solve for x
    x = 27,728,414,679.21/191,149
  6. Step 6: Final answer
    x = 145,061.78

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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.