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Finding the Fourth Proportional to 201,894.14, 278,613.92 and 117,060.41

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Solution

The fourth proportional to 201,894.14, 278,613.92 and 117,060.41 is: 161,543.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,894.14 : 278,613.92 = 117,060.41 : x
  2. Step 2: Convert to fraction form
    201,894.14/278,613.92 = 117,060.41/x
  3. Step 3: Cross multiply
    201,894.14x = 278,613.92 × 117,060.41
  4. Step 4: Simplify right side
    201,894.14x = 32,614,659,706.91
  5. Step 5: Solve for x
    x = 32,614,659,706.91/201,894.14
  6. Step 6: Final answer
    x = 161,543.37

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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.