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Finding the Fourth Proportional to 254,907.88, 382,112.44 and 105,274.25

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Solution

The fourth proportional to 254,907.88, 382,112.44 and 105,274.25 is: 157,808.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    254,907.88 : 382,112.44 = 105,274.25 : x
  2. Step 2: Convert to fraction form
    254,907.88/382,112.44 = 105,274.25/x
  3. Step 3: Cross multiply
    254,907.88x = 382,112.44 × 105,274.25
  4. Step 4: Simplify right side
    254,907.88x = 40,226,599,795.84
  5. Step 5: Solve for x
    x = 40,226,599,795.84/254,907.88
  6. Step 6: Final answer
    x = 157,808.38

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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.