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Finding the Fourth Proportional to 189,163.24, 283,783.74 and 78,355.24

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Solution

The fourth proportional to 189,163.24, 283,783.74 and 78,355.24 is: 117,548.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,163.24 : 283,783.74 = 78,355.24 : x
  2. Step 2: Convert to fraction form
    189,163.24/283,783.74 = 78,355.24/x
  3. Step 3: Cross multiply
    189,163.24x = 283,783.74 × 78,355.24
  4. Step 4: Simplify right side
    189,163.24x = 22,235,943,055.80
  5. Step 5: Solve for x
    x = 22,235,943,055.80/189,163.24
  6. Step 6: Final answer
    x = 117,548.96

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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.