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Finding the Fourth Proportional to 114,442.80, 171,615.60 and 55,296.60

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Solution

The fourth proportional to 114,442.80, 171,615.60 and 55,296.60 is: 82,921.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,442.80 : 171,615.60 = 55,296.60 : x
  2. Step 2: Convert to fraction form
    114,442.80/171,615.60 = 55,296.60/x
  3. Step 3: Cross multiply
    114,442.80x = 171,615.60 × 55,296.60
  4. Step 4: Simplify right side
    114,442.80x = 9,489,759,186.96
  5. Step 5: Solve for x
    x = 9,489,759,186.96/114,442.80
  6. Step 6: Final answer
    x = 82,921.42

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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.