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Finding the Fourth Proportional to 189,239.78, 283,538.35 and 114,202.28

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Solution

The fourth proportional to 189,239.78, 283,538.35 and 114,202.28 is: 171,109.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,239.78 : 283,538.35 = 114,202.28 : x
  2. Step 2: Convert to fraction form
    189,239.78/283,538.35 = 114,202.28/x
  3. Step 3: Cross multiply
    189,239.78x = 283,538.35 × 114,202.28
  4. Step 4: Simplify right side
    189,239.78x = 32,380,726,460.78
  5. Step 5: Solve for x
    x = 32,380,726,460.78/189,239.78
  6. Step 6: Final answer
    x = 171,109.51

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.