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Finding the Fourth Proportional to 191,295.65, 263,990.01 and 105,255.76

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Solution

The fourth proportional to 191,295.65, 263,990.01 and 105,255.76 is: 145,254.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    191,295.65 : 263,990.01 = 105,255.76 : x
  2. Step 2: Convert to fraction form
    191,295.65/263,990.01 = 105,255.76/x
  3. Step 3: Cross multiply
    191,295.65x = 263,990.01 × 105,255.76
  4. Step 4: Simplify right side
    191,295.65x = 27,786,469,134.96
  5. Step 5: Solve for x
    x = 27,786,469,134.96/191,295.65
  6. Step 6: Final answer
    x = 145,254.06

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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.