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Finding the Fourth Proportional to 189,216.46, 283,797.28 and 61,115.64

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Solution

The fourth proportional to 189,216.46, 283,797.28 and 61,115.64 is: 91,664.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,216.46 : 283,797.28 = 61,115.64 : x
  2. Step 2: Convert to fraction form
    189,216.46/283,797.28 = 61,115.64/x
  3. Step 3: Cross multiply
    189,216.46x = 283,797.28 × 61,115.64
  4. Step 4: Simplify right side
    189,216.46x = 17,344,452,397.46
  5. Step 5: Solve for x
    x = 17,344,452,397.46/189,216.46
  6. Step 6: Final answer
    x = 91,664.61

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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.