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Finding the Fourth Proportional to 321,123.93, 481,710.80 and 96,466.78

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Solution

The fourth proportional to 321,123.93, 481,710.80 and 96,466.78 is: 144,707.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    321,123.93 : 481,710.80 = 96,466.78 : x
  2. Step 2: Convert to fraction form
    321,123.93/481,710.80 = 96,466.78/x
  3. Step 3: Cross multiply
    321,123.93x = 481,710.80 × 96,466.78
  4. Step 4: Simplify right side
    321,123.93x = 46,469,089,767.22
  5. Step 5: Solve for x
    x = 46,469,089,767.22/321,123.93
  6. Step 6: Final answer
    x = 144,707.65

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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.