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Finding the Fourth Proportional to 208,570.68, 312,914.34 and 68,427.72

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Solution

The fourth proportional to 208,570.68, 312,914.34 and 68,427.72 is: 102,660.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,570.68 : 312,914.34 = 68,427.72 : x
  2. Step 2: Convert to fraction form
    208,570.68/312,914.34 = 68,427.72/x
  3. Step 3: Cross multiply
    208,570.68x = 312,914.34 × 68,427.72
  4. Step 4: Simplify right side
    208,570.68x = 21,412,014,841.50
  5. Step 5: Solve for x
    x = 21,412,014,841.50/208,570.68
  6. Step 6: Final answer
    x = 102,660.71

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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.