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Finding the Fourth Proportional to 208,493.24, 312,758.22 and 58,734.77

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Solution

The fourth proportional to 208,493.24, 312,758.22 and 58,734.77 is: 88,107.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,493.24 : 312,758.22 = 58,734.77 : x
  2. Step 2: Convert to fraction form
    208,493.24/312,758.22 = 58,734.77/x
  3. Step 3: Cross multiply
    208,493.24x = 312,758.22 × 58,734.77
  4. Step 4: Simplify right side
    208,493.24x = 18,369,782,117.31
  5. Step 5: Solve for x
    x = 18,369,782,117.31/208,493.24
  6. Step 6: Final answer
    x = 88,107.33

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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.