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Finding the Fourth Proportional to 191,287.27, 263,978.45 and 105,247.38

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Solution

The fourth proportional to 191,287.27, 263,978.45 and 105,247.38 is: 145,242.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    191,287.27 : 263,978.45 = 105,247.38 : x
  2. Step 2: Convert to fraction form
    191,287.27/263,978.45 = 105,247.38/x
  3. Step 3: Cross multiply
    191,287.27x = 263,978.45 × 105,247.38
  4. Step 4: Simplify right side
    191,287.27x = 27,783,040,502.08
  5. Step 5: Solve for x
    x = 27,783,040,502.08/191,287.27
  6. Step 6: Final answer
    x = 145,242.50

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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.