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Finding the Fourth Proportional to 165,941, 248,936.46 and 53,583.56

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Solution

The fourth proportional to 165,941, 248,936.46 and 53,583.56 is: 80,383.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    165,941 : 248,936.46 = 53,583.56 : x
  2. Step 2: Convert to fraction form
    165,941/248,936.46 = 53,583.56/x
  3. Step 3: Cross multiply
    165,941x = 248,936.46 × 53,583.56
  4. Step 4: Simplify right side
    165,941x = 13,338,901,740.60
  5. Step 5: Solve for x
    x = 13,338,901,740.60/165,941
  6. Step 6: Final answer
    x = 80,383.40

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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.