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Finding the Fourth Proportional to 208,467, 312,696.12 and 50,696.28

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Solution

The fourth proportional to 208,467, 312,696.12 and 50,696.28 is: 76,043.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,467 : 312,696.12 = 50,696.28 : x
  2. Step 2: Convert to fraction form
    208,467/312,696.12 = 50,696.28/x
  3. Step 3: Cross multiply
    208,467x = 312,696.12 × 50,696.28
  4. Step 4: Simplify right side
    208,467x = 15,852,530,054.43
  5. Step 5: Solve for x
    x = 15,852,530,054.43/208,467
  6. Step 6: Final answer
    x = 76,043.35

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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.