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Finding the Fourth Proportional to 191,274.28, 263,968.26 and 106,393

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Solution

The fourth proportional to 191,274.28, 263,968.26 and 106,393 is: 146,827.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    191,274.28 : 263,968.26 = 106,393 : x
  2. Step 2: Convert to fraction form
    191,274.28/263,968.26 = 106,393/x
  3. Step 3: Cross multiply
    191,274.28x = 263,968.26 × 106,393
  4. Step 4: Simplify right side
    191,274.28x = 28,084,375,086.18
  5. Step 5: Solve for x
    x = 28,084,375,086.18/191,274.28
  6. Step 6: Final answer
    x = 146,827.77

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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.