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Finding the Fourth Proportional to 149,556.96, 206,662.32 and 142,267.68

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Solution

The fourth proportional to 149,556.96, 206,662.32 and 142,267.68 is: 196,589.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,556.96 : 206,662.32 = 142,267.68 : x
  2. Step 2: Convert to fraction form
    149,556.96/206,662.32 = 142,267.68/x
  3. Step 3: Cross multiply
    149,556.96x = 206,662.32 × 142,267.68
  4. Step 4: Simplify right side
    149,556.96x = 29,401,368,809.82
  5. Step 5: Solve for x
    x = 29,401,368,809.82/149,556.96
  6. Step 6: Final answer
    x = 196,589.77

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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.