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Finding the Fourth Proportional to 208,093.98, 312,151.74 and 65,954.37

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Solution

The fourth proportional to 208,093.98, 312,151.74 and 65,954.37 is: 98,934.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,093.98 : 312,151.74 = 65,954.37 : x
  2. Step 2: Convert to fraction form
    208,093.98/312,151.74 = 65,954.37/x
  3. Step 3: Cross multiply
    208,093.98x = 312,151.74 × 65,954.37
  4. Step 4: Simplify right side
    208,093.98x = 20,587,771,356.10
  5. Step 5: Solve for x
    x = 20,587,771,356.10/208,093.98
  6. Step 6: Final answer
    x = 98,934.97

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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.