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Finding the Fourth Proportional to 165,770.70, 248,629.65 and 54,962.70

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Solution

The fourth proportional to 165,770.70, 248,629.65 and 54,962.70 is: 82,435.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    165,770.70 : 248,629.65 = 54,962.70 : x
  2. Step 2: Convert to fraction form
    165,770.70/248,629.65 = 54,962.70/x
  3. Step 3: Cross multiply
    165,770.70x = 248,629.65 × 54,962.70
  4. Step 4: Simplify right side
    165,770.70x = 13,665,356,864.06
  5. Step 5: Solve for x
    x = 13,665,356,864.06/165,770.70
  6. Step 6: Final answer
    x = 82,435.30

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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.