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Finding the Fourth Proportional to 201,893.64, 278,613.23 and 117,059.91

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Solution

The fourth proportional to 201,893.64, 278,613.23 and 117,059.91 is: 161,542.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,893.64 : 278,613.23 = 117,059.91 : x
  2. Step 2: Convert to fraction form
    201,893.64/278,613.23 = 117,059.91/x
  3. Step 3: Cross multiply
    201,893.64x = 278,613.23 × 117,059.91
  4. Step 4: Simplify right side
    201,893.64x = 32,614,439,628.61
  5. Step 5: Solve for x
    x = 32,614,439,628.61/201,893.64
  6. Step 6: Final answer
    x = 161,542.68

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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.