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Finding the Fourth Proportional to 329,050.20, 493,805.70 and 142,195.80

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Solution

The fourth proportional to 329,050.20, 493,805.70 and 142,195.80 is: 213,393.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    329,050.20 : 493,805.70 = 142,195.80 : x
  2. Step 2: Convert to fraction form
    329,050.20/493,805.70 = 142,195.80/x
  3. Step 3: Cross multiply
    329,050.20x = 493,805.70 × 142,195.80
  4. Step 4: Simplify right side
    329,050.20x = 70,217,096,556.06
  5. Step 5: Solve for x
    x = 70,217,096,556.06/329,050.20
  6. Step 6: Final answer
    x = 213,393.27

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.