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Finding the Fourth Proportional to 191,287.64, 263,978.97 and 105,247.76

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Solution

The fourth proportional to 191,287.64, 263,978.97 and 105,247.76 is: 145,243.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    191,287.64 : 263,978.97 = 105,247.76 : x
  2. Step 2: Convert to fraction form
    191,287.64/263,978.97 = 105,247.76/x
  3. Step 3: Cross multiply
    191,287.64x = 263,978.97 × 105,247.76
  4. Step 4: Simplify right side
    191,287.64x = 27,783,193,565.03
  5. Step 5: Solve for x
    x = 27,783,193,565.03/191,287.64
  6. Step 6: Final answer
    x = 145,243.01

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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.