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Finding the Fourth Proportional to 189,163.52, 283,794.24 and 70,844.16

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Solution

The fourth proportional to 189,163.52, 283,794.24 and 70,844.16 is: 106,284.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,163.52 : 283,794.24 = 70,844.16 : x
  2. Step 2: Convert to fraction form
    189,163.52/283,794.24 = 70,844.16/x
  3. Step 3: Cross multiply
    189,163.52x = 283,794.24 × 70,844.16
  4. Step 4: Simplify right side
    189,163.52x = 20,105,164,545.64
  5. Step 5: Solve for x
    x = 20,105,164,545.64/189,163.52
  6. Step 6: Final answer
    x = 106,284.58

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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.