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Finding the Fourth Proportional to 181,650.36, 250,648.62 and 102,147

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Solution

The fourth proportional to 181,650.36, 250,648.62 and 102,147 is: 140,946.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    181,650.36 : 250,648.62 = 102,147 : x
  2. Step 2: Convert to fraction form
    181,650.36/250,648.62 = 102,147/x
  3. Step 3: Cross multiply
    181,650.36x = 250,648.62 × 102,147
  4. Step 4: Simplify right side
    181,650.36x = 25,603,004,587.14
  5. Step 5: Solve for x
    x = 25,603,004,587.14/181,650.36
  6. Step 6: Final answer
    x = 140,946.62

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.