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Finding the Fourth Proportional to 183,970.65, 275,717.22 and 82,693.86

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Solution

The fourth proportional to 183,970.65, 275,717.22 and 82,693.86 is: 123,933.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    183,970.65 : 275,717.22 = 82,693.86 : x
  2. Step 2: Convert to fraction form
    183,970.65/275,717.22 = 82,693.86/x
  3. Step 3: Cross multiply
    183,970.65x = 275,717.22 × 82,693.86
  4. Step 4: Simplify right side
    183,970.65x = 22,800,121,190.27
  5. Step 5: Solve for x
    x = 22,800,121,190.27/183,970.65
  6. Step 6: Final answer
    x = 123,933.47

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.