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Finding the Fourth Proportional to 189,238.46, 283,536.33 and 114,200.93

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Solution

The fourth proportional to 189,238.46, 283,536.33 and 114,200.93 is: 171,107.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,238.46 : 283,536.33 = 114,200.93 : x
  2. Step 2: Convert to fraction form
    189,238.46/283,536.33 = 114,200.93/x
  3. Step 3: Cross multiply
    189,238.46x = 283,536.33 × 114,200.93
  4. Step 4: Simplify right side
    189,238.46x = 32,380,111,157.11
  5. Step 5: Solve for x
    x = 32,380,111,157.11/189,238.46
  6. Step 6: Final answer
    x = 171,107.46

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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.