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Finding the Fourth Proportional to 273,106.44, 409,571.01 and 104,617.80

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Solution

The fourth proportional to 273,106.44, 409,571.01 and 104,617.80 is: 156,892.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    273,106.44 : 409,571.01 = 104,617.80 : x
  2. Step 2: Convert to fraction form
    273,106.44/409,571.01 = 104,617.80/x
  3. Step 3: Cross multiply
    273,106.44x = 409,571.01 × 104,617.80
  4. Step 4: Simplify right side
    273,106.44x = 42,848,418,009.98
  5. Step 5: Solve for x
    x = 42,848,418,009.98/273,106.44
  6. Step 6: Final answer
    x = 156,892.74

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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.