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Finding the Fourth Proportional to 206,746.14, 285,293.43 and 117,322.14

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Solution

The fourth proportional to 206,746.14, 285,293.43 and 117,322.14 is: 161,895.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,746.14 : 285,293.43 = 117,322.14 : x
  2. Step 2: Convert to fraction form
    206,746.14/285,293.43 = 117,322.14/x
  3. Step 3: Cross multiply
    206,746.14x = 285,293.43 × 117,322.14
  4. Step 4: Simplify right side
    206,746.14x = 33,471,235,735.54
  5. Step 5: Solve for x
    x = 33,471,235,735.54/206,746.14
  6. Step 6: Final answer
    x = 161,895.34

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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.