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Finding the Fourth Proportional to 204,178, 281,765.64 and 114,754

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Solution

The fourth proportional to 204,178, 281,765.64 and 114,754 is: 158,360.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,178 : 281,765.64 = 114,754 : x
  2. Step 2: Convert to fraction form
    204,178/281,765.64 = 114,754/x
  3. Step 3: Cross multiply
    204,178x = 281,765.64 × 114,754
  4. Step 4: Simplify right side
    204,178x = 32,333,734,252.56
  5. Step 5: Solve for x
    x = 32,333,734,252.56/204,178
  6. Step 6: Final answer
    x = 158,360.52

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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.