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Finding the Fourth Proportional to 208,362.98, 311,654.39 and 173,959.65

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Solution

The fourth proportional to 208,362.98, 311,654.39 and 173,959.65 is: 260,196.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,362.98 : 311,654.39 = 173,959.65 : x
  2. Step 2: Convert to fraction form
    208,362.98/311,654.39 = 173,959.65/x
  3. Step 3: Cross multiply
    208,362.98x = 311,654.39 × 173,959.65
  4. Step 4: Simplify right side
    208,362.98x = 54,215,287,735.57
  5. Step 5: Solve for x
    x = 54,215,287,735.57/208,362.98
  6. Step 6: Final answer
    x = 260,196.35

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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.