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Finding the Fourth Proportional to 205,544.78, 308,313.77 and 61,450.93

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Solution

The fourth proportional to 205,544.78, 308,313.77 and 61,450.93 is: 92,175.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,544.78 : 308,313.77 = 61,450.93 : x
  2. Step 2: Convert to fraction form
    205,544.78/308,313.77 = 61,450.93/x
  3. Step 3: Cross multiply
    205,544.78x = 308,313.77 × 61,450.93
  4. Step 4: Simplify right side
    205,544.78x = 18,946,167,744.68
  5. Step 5: Solve for x
    x = 18,946,167,744.68/205,544.78
  6. Step 6: Final answer
    x = 92,175.38

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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.