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Finding the Fourth Proportional to 321,353.16, 481,932.42 and 96,653.94

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Solution

The fourth proportional to 321,353.16, 481,932.42 and 96,653.94 is: 144,951.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    321,353.16 : 481,932.42 = 96,653.94 : x
  2. Step 2: Convert to fraction form
    321,353.16/481,932.42 = 96,653.94/x
  3. Step 3: Cross multiply
    321,353.16x = 481,932.42 × 96,653.94
  4. Step 4: Simplify right side
    321,353.16x = 46,580,667,206.73
  5. Step 5: Solve for x
    x = 46,580,667,206.73/321,353.16
  6. Step 6: Final answer
    x = 144,951.64

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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.