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Finding the Fourth Proportional to 209,679.31, 289,347.42 and 114,185.44

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Solution

The fourth proportional to 209,679.31, 289,347.42 and 114,185.44 is: 157,570.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,679.31 : 289,347.42 = 114,185.44 : x
  2. Step 2: Convert to fraction form
    209,679.31/289,347.42 = 114,185.44/x
  3. Step 3: Cross multiply
    209,679.31x = 289,347.42 × 114,185.44
  4. Step 4: Simplify right side
    209,679.31x = 33,039,262,465.56
  5. Step 5: Solve for x
    x = 33,039,262,465.56/209,679.31
  6. Step 6: Final answer
    x = 157,570.45

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.