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Finding the Fourth Proportional to 181,538.94, 250,486.92 and 106,072.86

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Solution

The fourth proportional to 181,538.94, 250,486.92 and 106,072.86 is: 146,359.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    181,538.94 : 250,486.92 = 106,072.86 : x
  2. Step 2: Convert to fraction form
    181,538.94/250,486.92 = 106,072.86/x
  3. Step 3: Cross multiply
    181,538.94x = 250,486.92 × 106,072.86
  4. Step 4: Simplify right side
    181,538.94x = 26,569,863,996.99
  5. Step 5: Solve for x
    x = 26,569,863,996.99/181,538.94
  6. Step 6: Final answer
    x = 146,359.03

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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.