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Finding the Fourth Proportional to 222,893.94, 334,339.72 and 54,415.15

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Solution

The fourth proportional to 222,893.94, 334,339.72 and 54,415.15 is: 81,622.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    222,893.94 : 334,339.72 = 54,415.15 : x
  2. Step 2: Convert to fraction form
    222,893.94/334,339.72 = 54,415.15/x
  3. Step 3: Cross multiply
    222,893.94x = 334,339.72 × 54,415.15
  4. Step 4: Simplify right side
    222,893.94x = 18,193,146,014.76
  5. Step 5: Solve for x
    x = 18,193,146,014.76/222,893.94
  6. Step 6: Final answer
    x = 81,622.43

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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.