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Finding the Fourth Proportional to 201,786.14, 278,464.86 and 116,952.41

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Solution

The fourth proportional to 201,786.14, 278,464.86 and 116,952.41 is: 161,394.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,786.14 : 278,464.86 = 116,952.41 : x
  2. Step 2: Convert to fraction form
    201,786.14/278,464.86 = 116,952.41/x
  3. Step 3: Cross multiply
    201,786.14x = 278,464.86 × 116,952.41
  4. Step 4: Simplify right side
    201,786.14x = 32,567,136,477.31
  5. Step 5: Solve for x
    x = 32,567,136,477.31/201,786.14
  6. Step 6: Final answer
    x = 161,394.32

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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.