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Finding the Fourth Proportional to 144,893.78, 217,322.19 and 56,086.52

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Solution

The fourth proportional to 144,893.78, 217,322.19 and 56,086.52 is: 84,122.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,893.78 : 217,322.19 = 56,086.52 : x
  2. Step 2: Convert to fraction form
    144,893.78/217,322.19 = 56,086.52/x
  3. Step 3: Cross multiply
    144,893.78x = 217,322.19 × 56,086.52
  4. Step 4: Simplify right side
    144,893.78x = 12,188,845,355.88
  5. Step 5: Solve for x
    x = 12,188,845,355.88/144,893.78
  6. Step 6: Final answer
    x = 84,122.63

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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.