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Finding the Fourth Proportional to 208,840.20, 313,041.60 and 82,431.60

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Solution

The fourth proportional to 208,840.20, 313,041.60 and 82,431.60 is: 123,561.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,840.20 : 313,041.60 = 82,431.60 : x
  2. Step 2: Convert to fraction form
    208,840.20/313,041.60 = 82,431.60/x
  3. Step 3: Cross multiply
    208,840.20x = 313,041.60 × 82,431.60
  4. Step 4: Simplify right side
    208,840.20x = 25,804,519,954.56
  5. Step 5: Solve for x
    x = 25,804,519,954.56/208,840.20
  6. Step 6: Final answer
    x = 123,561.08

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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.