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Finding the Fourth Proportional to 189,168.71, 283,611.80 and 114,271.85

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Solution

The fourth proportional to 189,168.71, 283,611.80 and 114,271.85 is: 171,322.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,168.71 : 283,611.80 = 114,271.85 : x
  2. Step 2: Convert to fraction form
    189,168.71/283,611.80 = 114,271.85/x
  3. Step 3: Cross multiply
    189,168.71x = 283,611.80 × 114,271.85
  4. Step 4: Simplify right side
    189,168.71x = 32,408,843,078.41
  5. Step 5: Solve for x
    x = 32,408,843,078.41/189,168.71
  6. Step 6: Final answer
    x = 171,322.43

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1.5x scale

Why These Related Problems?

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