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Finding the Fourth Proportional to 201,884.31, 278,598.12 and 114,668.82

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Solution

The fourth proportional to 201,884.31, 278,598.12 and 114,668.82 is: 158,241.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,884.31 : 278,598.12 = 114,668.82 : x
  2. Step 2: Convert to fraction form
    201,884.31/278,598.12 = 114,668.82/x
  3. Step 3: Cross multiply
    201,884.31x = 278,598.12 × 114,668.82
  4. Step 4: Simplify right side
    201,884.31x = 31,946,517,674.62
  5. Step 5: Solve for x
    x = 31,946,517,674.62/201,884.31
  6. Step 6: Final answer
    x = 158,241.71

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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.