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Finding the Fourth Proportional to 275,750.30, 413,532.44 and 104,931.46

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Solution

The fourth proportional to 275,750.30, 413,532.44 and 104,931.46 is: 157,361.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    275,750.30 : 413,532.44 = 104,931.46 : x
  2. Step 2: Convert to fraction form
    275,750.30/413,532.44 = 104,931.46/x
  3. Step 3: Cross multiply
    275,750.30x = 413,532.44 × 104,931.46
  4. Step 4: Simplify right side
    275,750.30x = 43,392,563,819.85
  5. Step 5: Solve for x
    x = 43,392,563,819.85/275,750.30
  6. Step 6: Final answer
    x = 157,361.80

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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.