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Finding the Fourth Proportional to 321,766.24, 482,662.32 and 153,199.84

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Solution

The fourth proportional to 321,766.24, 482,662.32 and 153,199.84 is: 229,805.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    321,766.24 : 482,662.32 = 153,199.84 : x
  2. Step 2: Convert to fraction form
    321,766.24/482,662.32 = 153,199.84/x
  3. Step 3: Cross multiply
    321,766.24x = 482,662.32 × 153,199.84
  4. Step 4: Simplify right side
    321,766.24x = 73,943,790,198.03
  5. Step 5: Solve for x
    x = 73,943,790,198.03/321,766.24
  6. Step 6: Final answer
    x = 229,805.93

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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.