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Finding the Fourth Proportional to 262,934.40, 394,576.30 and 96,722.40

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Solution

The fourth proportional to 262,934.40, 394,576.30 and 96,722.40 is: 145,147.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    262,934.40 : 394,576.30 = 96,722.40 : x
  2. Step 2: Convert to fraction form
    262,934.40/394,576.30 = 96,722.40/x
  3. Step 3: Cross multiply
    262,934.40x = 394,576.30 × 96,722.40
  4. Step 4: Simplify right side
    262,934.40x = 38,164,366,719.12
  5. Step 5: Solve for x
    x = 38,164,366,719.12/262,934.40
  6. Step 6: Final answer
    x = 145,147.86

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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.