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Finding the Fourth Proportional to 183,175.20, 274,762.80 and 164,512.80

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Solution

The fourth proportional to 183,175.20, 274,762.80 and 164,512.80 is: 246,769.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    183,175.20 : 274,762.80 = 164,512.80 : x
  2. Step 2: Convert to fraction form
    183,175.20/274,762.80 = 164,512.80/x
  3. Step 3: Cross multiply
    183,175.20x = 274,762.80 × 164,512.80
  4. Step 4: Simplify right side
    183,175.20x = 45,201,997,563.84
  5. Step 5: Solve for x
    x = 45,201,997,563.84/183,175.20
  6. Step 6: Final answer
    x = 246,769.20

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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.