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Finding the Fourth Proportional to 180,473.28, 270,735.84 and 55,824

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Solution

The fourth proportional to 180,473.28, 270,735.84 and 55,824 is: 83,744.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,473.28 : 270,735.84 = 55,824 : x
  2. Step 2: Convert to fraction form
    180,473.28/270,735.84 = 55,824/x
  3. Step 3: Cross multiply
    180,473.28x = 270,735.84 × 55,824
  4. Step 4: Simplify right side
    180,473.28x = 15,113,557,532.16
  5. Step 5: Solve for x
    x = 15,113,557,532.16/180,473.28
  6. Step 6: Final answer
    x = 83,744.02

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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.