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Finding the Fourth Proportional to 205,846.61, 308,511.54 and 111,072.96

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Solution

The fourth proportional to 205,846.61, 308,511.54 and 111,072.96 is: 166,470.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,846.61 : 308,511.54 = 111,072.96 : x
  2. Step 2: Convert to fraction form
    205,846.61/308,511.54 = 111,072.96/x
  3. Step 3: Cross multiply
    205,846.61x = 308,511.54 × 111,072.96
  4. Step 4: Simplify right side
    205,846.61x = 34,267,289,941.96
  5. Step 5: Solve for x
    x = 34,267,289,941.96/205,846.61
  6. Step 6: Final answer
    x = 166,470.03

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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.