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Finding the Fourth Proportional to 208,393.46, 312,587.91 and 50,622.06

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Solution

The fourth proportional to 208,393.46, 312,587.91 and 50,622.06 is: 75,932.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,393.46 : 312,587.91 = 50,622.06 : x
  2. Step 2: Convert to fraction form
    208,393.46/312,587.91 = 50,622.06/x
  3. Step 3: Cross multiply
    208,393.46x = 312,587.91 × 50,622.06
  4. Step 4: Simplify right side
    208,393.46x = 15,823,845,107.50
  5. Step 5: Solve for x
    x = 15,823,845,107.50/208,393.46
  6. Step 6: Final answer
    x = 75,932.54

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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.