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Finding the Fourth Proportional to 321,354.16, 481,933.92 and 96,654.94

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Solution

The fourth proportional to 321,354.16, 481,933.92 and 96,654.94 is: 144,953.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    321,354.16 : 481,933.92 = 96,654.94 : x
  2. Step 2: Convert to fraction form
    321,354.16/481,933.92 = 96,654.94/x
  3. Step 3: Cross multiply
    321,354.16x = 481,933.92 × 96,654.94
  4. Step 4: Simplify right side
    321,354.16x = 46,581,294,121.56
  5. Step 5: Solve for x
    x = 46,581,294,121.56/321,354.16
  6. Step 6: Final answer
    x = 144,953.14

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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.