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Finding the Fourth Proportional to 111,467.25, 153,824.81 and 61,169.49

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Solution

The fourth proportional to 111,467.25, 153,824.81 and 61,169.49 is: 84,413.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    111,467.25 : 153,824.81 = 61,169.49 : x
  2. Step 2: Convert to fraction form
    111,467.25/153,824.81 = 61,169.49/x
  3. Step 3: Cross multiply
    111,467.25x = 153,824.81 × 61,169.49
  4. Step 4: Simplify right side
    111,467.25x = 9,409,384,871.20
  5. Step 5: Solve for x
    x = 9,409,384,871.20/111,467.25
  6. Step 6: Final answer
    x = 84,413.90

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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.