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Finding the Fourth Proportional to 194,978.20, 269,074.80 and 110,095.86

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Solution

The fourth proportional to 194,978.20, 269,074.80 and 110,095.86 is: 151,935.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,978.20 : 269,074.80 = 110,095.86 : x
  2. Step 2: Convert to fraction form
    194,978.20/269,074.80 = 110,095.86/x
  3. Step 3: Cross multiply
    194,978.20x = 269,074.80 × 110,095.86
  4. Step 4: Simplify right side
    194,978.20x = 29,624,021,510.33
  5. Step 5: Solve for x
    x = 29,624,021,510.33/194,978.20
  6. Step 6: Final answer
    x = 151,935.04

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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.