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Finding the Fourth Proportional to 123,022, 184,591.36 and 73,200.48

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Solution

The fourth proportional to 123,022, 184,591.36 and 73,200.48 is: 109,835.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,022 : 184,591.36 = 73,200.48 : x
  2. Step 2: Convert to fraction form
    123,022/184,591.36 = 73,200.48/x
  3. Step 3: Cross multiply
    123,022x = 184,591.36 × 73,200.48
  4. Step 4: Simplify right side
    123,022x = 13,512,176,155.85
  5. Step 5: Solve for x
    x = 13,512,176,155.85/123,022
  6. Step 6: Final answer
    x = 109,835.45

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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.