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Finding the Fourth Proportional to 104,093.63, 156,137.71 and 29,214.39

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Solution

The fourth proportional to 104,093.63, 156,137.71 and 29,214.39 is: 43,820.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    104,093.63 : 156,137.71 = 29,214.39 : x
  2. Step 2: Convert to fraction form
    104,093.63/156,137.71 = 29,214.39/x
  3. Step 3: Cross multiply
    104,093.63x = 156,137.71 × 29,214.39
  4. Step 4: Simplify right side
    104,093.63x = 4,561,467,953.65
  5. Step 5: Solve for x
    x = 4,561,467,953.65/104,093.63
  6. Step 6: Final answer
    x = 43,820.82

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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.