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Finding the Fourth Proportional to 204,662.16, 282,414.60 and 150,976.98

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Solution

The fourth proportional to 204,662.16, 282,414.60 and 150,976.98 is: 208,334.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,662.16 : 282,414.60 = 150,976.98 : x
  2. Step 2: Convert to fraction form
    204,662.16/282,414.60 = 150,976.98/x
  3. Step 3: Cross multiply
    204,662.16x = 282,414.60 × 150,976.98
  4. Step 4: Simplify right side
    204,662.16x = 42,638,103,415.91
  5. Step 5: Solve for x
    x = 42,638,103,415.91/204,662.16
  6. Step 6: Final answer
    x = 208,334.08

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.