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Finding the Fourth Proportional to 329,164.14, 493,457.79 and 158,300.21

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Solution

The fourth proportional to 329,164.14, 493,457.79 and 158,300.21 is: 237,311.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    329,164.14 : 493,457.79 = 158,300.21 : x
  2. Step 2: Convert to fraction form
    329,164.14/493,457.79 = 158,300.21/x
  3. Step 3: Cross multiply
    329,164.14x = 493,457.79 × 158,300.21
  4. Step 4: Simplify right side
    329,164.14x = 78,114,469,315.85
  5. Step 5: Solve for x
    x = 78,114,469,315.85/329,164.14
  6. Step 6: Final answer
    x = 237,311.60

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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.