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Finding the Fourth Proportional to 204,628.56, 306,913.68 and 64,383.54

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Solution

The fourth proportional to 204,628.56, 306,913.68 and 64,383.54 is: 96,566.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,628.56 : 306,913.68 = 64,383.54 : x
  2. Step 2: Convert to fraction form
    204,628.56/306,913.68 = 64,383.54/x
  3. Step 3: Cross multiply
    204,628.56x = 306,913.68 × 64,383.54
  4. Step 4: Simplify right side
    204,628.56x = 19,760,189,192.83
  5. Step 5: Solve for x
    x = 19,760,189,192.83/204,628.56
  6. Step 6: Final answer
    x = 96,566.14

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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.