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Finding the Fourth Proportional to 117,230.40, 175,845.60 and 55,022.40

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Solution

The fourth proportional to 117,230.40, 175,845.60 and 55,022.40 is: 82,533.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,230.40 : 175,845.60 = 55,022.40 : x
  2. Step 2: Convert to fraction form
    117,230.40/175,845.60 = 55,022.40/x
  3. Step 3: Cross multiply
    117,230.40x = 175,845.60 × 55,022.40
  4. Step 4: Simplify right side
    117,230.40x = 9,675,446,941.44
  5. Step 5: Solve for x
    x = 9,675,446,941.44/117,230.40
  6. Step 6: Final answer
    x = 82,533.60

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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.