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Finding the Fourth Proportional to 254,887.94, 351,676.41 and 164,169.56

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Solution

The fourth proportional to 254,887.94, 351,676.41 and 164,169.56 is: 226,509.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    254,887.94 : 351,676.41 = 164,169.56 : x
  2. Step 2: Convert to fraction form
    254,887.94/351,676.41 = 164,169.56/x
  3. Step 3: Cross multiply
    254,887.94x = 351,676.41 × 164,169.56
  4. Step 4: Simplify right side
    254,887.94x = 57,734,561,492.08
  5. Step 5: Solve for x
    x = 57,734,561,492.08/254,887.94
  6. Step 6: Final answer
    x = 226,509.58

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.