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Finding the Fourth Proportional to 208,021.24, 312,064.26 and 67,747.24

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Solution

The fourth proportional to 208,021.24, 312,064.26 and 67,747.24 is: 101,631.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,021.24 : 312,064.26 = 67,747.24 : x
  2. Step 2: Convert to fraction form
    208,021.24/312,064.26 = 67,747.24/x
  3. Step 3: Cross multiply
    208,021.24x = 312,064.26 × 67,747.24
  4. Step 4: Simplify right side
    208,021.24x = 21,141,492,317.64
  5. Step 5: Solve for x
    x = 21,141,492,317.64/208,021.24
  6. Step 6: Final answer
    x = 101,631.41

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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.