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Finding the Fourth Proportional to 275,245.23, 412,768.77 and 95,281.77

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Solution

The fourth proportional to 275,245.23, 412,768.77 and 95,281.77 is: 142,888.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    275,245.23 : 412,768.77 = 95,281.77 : x
  2. Step 2: Convert to fraction form
    275,245.23/412,768.77 = 95,281.77/x
  3. Step 3: Cross multiply
    275,245.23x = 412,768.77 × 95,281.77
  4. Step 4: Simplify right side
    275,245.23x = 39,329,339,006.32
  5. Step 5: Solve for x
    x = 39,329,339,006.32/275,245.23
  6. Step 6: Final answer
    x = 142,888.36

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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.