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Finding the Fourth Proportional to 223,163.60, 334,745.40 and 82,893.20

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Solution

The fourth proportional to 223,163.60, 334,745.40 and 82,893.20 is: 124,339.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    223,163.60 : 334,745.40 = 82,893.20 : x
  2. Step 2: Convert to fraction form
    223,163.60/334,745.40 = 82,893.20/x
  3. Step 3: Cross multiply
    223,163.60x = 334,745.40 × 82,893.20
  4. Step 4: Simplify right side
    223,163.60x = 27,748,117,391.28
  5. Step 5: Solve for x
    x = 27,748,117,391.28/223,163.60
  6. Step 6: Final answer
    x = 124,339.80

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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.