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Finding the Fourth Proportional to 230,985.78, 346,511.49 and 71,074.98

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Solution

The fourth proportional to 230,985.78, 346,511.49 and 71,074.98 is: 106,622.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    230,985.78 : 346,511.49 = 71,074.98 : x
  2. Step 2: Convert to fraction form
    230,985.78/346,511.49 = 71,074.98/x
  3. Step 3: Cross multiply
    230,985.78x = 346,511.49 × 71,074.98
  4. Step 4: Simplify right side
    230,985.78x = 24,628,297,221.52
  5. Step 5: Solve for x
    x = 24,628,297,221.52/230,985.78
  6. Step 6: Final answer
    x = 106,622.57

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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.