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Finding the Fourth Proportional to 252,383.30, 378,493.01 and 83,858.36

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Solution

The fourth proportional to 252,383.30, 378,493.01 and 83,858.36 is: 125,760.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    252,383.30 : 378,493.01 = 83,858.36 : x
  2. Step 2: Convert to fraction form
    252,383.30/378,493.01 = 83,858.36/x
  3. Step 3: Cross multiply
    252,383.30x = 378,493.01 × 83,858.36
  4. Step 4: Simplify right side
    252,383.30x = 31,739,803,090.06
  5. Step 5: Solve for x
    x = 31,739,803,090.06/252,383.30
  6. Step 6: Final answer
    x = 125,760.32

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.