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Finding the Fourth Proportional to 235,674.28, 353,511.42 and 165,865.24

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Solution

The fourth proportional to 235,674.28, 353,511.42 and 165,865.24 is: 248,797.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    235,674.28 : 353,511.42 = 165,865.24 : x
  2. Step 2: Convert to fraction form
    235,674.28/353,511.42 = 165,865.24/x
  3. Step 3: Cross multiply
    235,674.28x = 353,511.42 × 165,865.24
  4. Step 4: Simplify right side
    235,674.28x = 58,635,256,521.04
  5. Step 5: Solve for x
    x = 58,635,256,521.04/235,674.28
  6. Step 6: Final answer
    x = 248,797.86

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.