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Finding the Fourth Proportional to 201,808.21, 278,495.31 and 116,974.48

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Solution

The fourth proportional to 201,808.21, 278,495.31 and 116,974.48 is: 161,424.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,808.21 : 278,495.31 = 116,974.48 : x
  2. Step 2: Convert to fraction form
    201,808.21/278,495.31 = 116,974.48/x
  3. Step 3: Cross multiply
    201,808.21x = 278,495.31 × 116,974.48
  4. Step 4: Simplify right side
    201,808.21x = 32,576,844,069.69
  5. Step 5: Solve for x
    x = 32,576,844,069.69/201,808.21
  6. Step 6: Final answer
    x = 161,424.77

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Why These Related Problems?

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