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Finding the Fourth Proportional to 272,168.40, 408,317.40 and 114,315.60

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Solution

The fourth proportional to 272,168.40, 408,317.40 and 114,315.60 is: 171,500.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    272,168.40 : 408,317.40 = 114,315.60 : x
  2. Step 2: Convert to fraction form
    272,168.40/408,317.40 = 114,315.60/x
  3. Step 3: Cross multiply
    272,168.40x = 408,317.40 × 114,315.60
  4. Step 4: Simplify right side
    272,168.40x = 46,677,048,571.44
  5. Step 5: Solve for x
    x = 46,677,048,571.44/272,168.40
  6. Step 6: Final answer
    x = 171,500.62

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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.