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Finding the Fourth Proportional to 114,414.40, 171,736.80 and 55,297.60

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Solution

The fourth proportional to 114,414.40, 171,736.80 and 55,297.60 is: 83,002.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,414.40 : 171,736.80 = 55,297.60 : x
  2. Step 2: Convert to fraction form
    114,414.40/171,736.80 = 55,297.60/x
  3. Step 3: Cross multiply
    114,414.40x = 171,736.80 × 55,297.60
  4. Step 4: Simplify right side
    114,414.40x = 9,496,632,871.68
  5. Step 5: Solve for x
    x = 9,496,632,871.68/114,414.40
  6. Step 6: Final answer
    x = 83,002.08

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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.