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Finding the Fourth Proportional to 204,004, 281,551.92 and 114,580

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Solution

The fourth proportional to 204,004, 281,551.92 and 114,580 is: 158,135.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,004 : 281,551.92 = 114,580 : x
  2. Step 2: Convert to fraction form
    204,004/281,551.92 = 114,580/x
  3. Step 3: Cross multiply
    204,004x = 281,551.92 × 114,580
  4. Step 4: Simplify right side
    204,004x = 32,260,218,993.60
  5. Step 5: Solve for x
    x = 32,260,218,993.60/204,004
  6. Step 6: Final answer
    x = 158,135.23

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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.