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Finding the Fourth Proportional to 208,058.40, 312,164.40 and 67,821.60

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Solution

The fourth proportional to 208,058.40, 312,164.40 and 67,821.60 is: 101,757.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,058.40 : 312,164.40 = 67,821.60 : x
  2. Step 2: Convert to fraction form
    208,058.40/312,164.40 = 67,821.60/x
  3. Step 3: Cross multiply
    208,058.40x = 312,164.40 × 67,821.60
  4. Step 4: Simplify right side
    208,058.40x = 21,171,489,071.04
  5. Step 5: Solve for x
    x = 21,171,489,071.04/208,058.40
  6. Step 6: Final answer
    x = 101,757.43

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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.