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Finding the Fourth Proportional to 252,066.36, 378,046.62 and 111,735.48

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Solution

The fourth proportional to 252,066.36, 378,046.62 and 111,735.48 is: 167,579.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    252,066.36 : 378,046.62 = 111,735.48 : x
  2. Step 2: Convert to fraction form
    252,066.36/378,046.62 = 111,735.48/x
  3. Step 3: Cross multiply
    252,066.36x = 378,046.62 × 111,735.48
  4. Step 4: Simplify right side
    252,066.36x = 42,241,220,548.08
  5. Step 5: Solve for x
    x = 42,241,220,548.08/252,066.36
  6. Step 6: Final answer
    x = 167,579.76

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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.