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Finding the Fourth Proportional to 254,557.44, 351,447.12 and 164,069.28

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Solution

The fourth proportional to 254,557.44, 351,447.12 and 164,069.28 is: 226,517.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    254,557.44 : 351,447.12 = 164,069.28 : x
  2. Step 2: Convert to fraction form
    254,557.44/351,447.12 = 164,069.28/x
  3. Step 3: Cross multiply
    254,557.44x = 351,447.12 × 164,069.28
  4. Step 4: Simplify right side
    254,557.44x = 57,661,675,936.47
  5. Step 5: Solve for x
    x = 57,661,675,936.47/254,557.44
  6. Step 6: Final answer
    x = 226,517.35

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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.