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Finding the Fourth Proportional to 203,796.84, 281,248.44 and 113,152.82

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Solution

The fourth proportional to 203,796.84, 281,248.44 and 113,152.82 is: 156,155.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,796.84 : 281,248.44 = 113,152.82 : x
  2. Step 2: Convert to fraction form
    203,796.84/281,248.44 = 113,152.82/x
  3. Step 3: Cross multiply
    203,796.84x = 281,248.44 × 113,152.82
  4. Step 4: Simplify right side
    203,796.84x = 31,824,052,276.04
  5. Step 5: Solve for x
    x = 31,824,052,276.04/203,796.84
  6. Step 6: Final answer
    x = 156,155.77

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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.