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Finding the Fourth Proportional to 209,822.58, 314,736.03 and 167,968.71

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Solution

The fourth proportional to 209,822.58, 314,736.03 and 167,968.71 is: 251,954.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,822.58 : 314,736.03 = 167,968.71 : x
  2. Step 2: Convert to fraction form
    209,822.58/314,736.03 = 167,968.71/x
  3. Step 3: Cross multiply
    209,822.58x = 314,736.03 × 167,968.71
  4. Step 4: Simplify right side
    209,822.58x = 52,865,804,949.62
  5. Step 5: Solve for x
    x = 52,865,804,949.62/209,822.58
  6. Step 6: Final answer
    x = 251,954.79

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.