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Finding the Fourth Proportional to 181,598.50, 250,605.93 and 102,110.50

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Solution

The fourth proportional to 181,598.50, 250,605.93 and 102,110.50 is: 140,912.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    181,598.50 : 250,605.93 = 102,110.50 : x
  2. Step 2: Convert to fraction form
    181,598.50/250,605.93 = 102,110.50/x
  3. Step 3: Cross multiply
    181,598.50x = 250,605.93 × 102,110.50
  4. Step 4: Simplify right side
    181,598.50x = 25,589,496,815.27
  5. Step 5: Solve for x
    x = 25,589,496,815.27/181,598.50
  6. Step 6: Final answer
    x = 140,912.49

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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.