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Finding the Fourth Proportional to 130,745.83, 196,223.84 and 67,584.48

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Solution

The fourth proportional to 130,745.83, 196,223.84 and 67,584.48 is: 101,431.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    130,745.83 : 196,223.84 = 67,584.48 : x
  2. Step 2: Convert to fraction form
    130,745.83/196,223.84 = 67,584.48/x
  3. Step 3: Cross multiply
    130,745.83x = 196,223.84 × 67,584.48
  4. Step 4: Simplify right side
    130,745.83x = 13,261,686,190.00
  5. Step 5: Solve for x
    x = 13,261,686,190.00/130,745.83
  6. Step 6: Final answer
    x = 101,431.05

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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.