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Finding the Fourth Proportional to 189,168.32, 283,611.24 and 114,271.47

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Solution

The fourth proportional to 189,168.32, 283,611.24 and 114,271.47 is: 171,321.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,168.32 : 283,611.24 = 114,271.47 : x
  2. Step 2: Convert to fraction form
    189,168.32/283,611.24 = 114,271.47/x
  3. Step 3: Cross multiply
    189,168.32x = 283,611.24 × 114,271.47
  4. Step 4: Simplify right side
    189,168.32x = 32,408,673,303.32
  5. Step 5: Solve for x
    x = 32,408,673,303.32/189,168.32
  6. Step 6: Final answer
    x = 171,321.88

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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.