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Finding the Fourth Proportional to 203,770.50, 281,203.83 and 114,346.50

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Solution

The fourth proportional to 203,770.50, 281,203.83 and 114,346.50 is: 157,798.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,770.50 : 281,203.83 = 114,346.50 : x
  2. Step 2: Convert to fraction form
    203,770.50/281,203.83 = 114,346.50/x
  3. Step 3: Cross multiply
    203,770.50x = 281,203.83 × 114,346.50
  4. Step 4: Simplify right side
    203,770.50x = 32,154,673,747.10
  5. Step 5: Solve for x
    x = 32,154,673,747.10/203,770.50
  6. Step 6: Final answer
    x = 157,798.47

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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.