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Finding the Fourth Proportional to 321,797.23, 482,773.88 and 97,144.25

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Solution

The fourth proportional to 321,797.23, 482,773.88 and 97,144.25 is: 145,739.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    321,797.23 : 482,773.88 = 97,144.25 : x
  2. Step 2: Convert to fraction form
    321,797.23/482,773.88 = 97,144.25/x
  3. Step 3: Cross multiply
    321,797.23x = 482,773.88 × 97,144.25
  4. Step 4: Simplify right side
    321,797.23x = 46,898,707,941.99
  5. Step 5: Solve for x
    x = 46,898,707,941.99/321,797.23
  6. Step 6: Final answer
    x = 145,739.94

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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.