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Finding the Fourth Proportional to 204,092.96, 305,848.71 and 150,362.39

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Solution

The fourth proportional to 204,092.96, 305,848.71 and 150,362.39 is: 225,329.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,092.96 : 305,848.71 = 150,362.39 : x
  2. Step 2: Convert to fraction form
    204,092.96/305,848.71 = 150,362.39/x
  3. Step 3: Cross multiply
    204,092.96x = 305,848.71 × 150,362.39
  4. Step 4: Simplify right side
    204,092.96x = 45,988,143,014.02
  5. Step 5: Solve for x
    x = 45,988,143,014.02/204,092.96
  6. Step 6: Final answer
    x = 225,329.39

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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.