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Finding the Fourth Proportional to 254,914.22, 382,289.46 and 84,097.53

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Solution

The fourth proportional to 254,914.22, 382,289.46 and 84,097.53 is: 126,119.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    254,914.22 : 382,289.46 = 84,097.53 : x
  2. Step 2: Convert to fraction form
    254,914.22/382,289.46 = 84,097.53/x
  3. Step 3: Cross multiply
    254,914.22x = 382,289.46 × 84,097.53
  4. Step 4: Simplify right side
    254,914.22x = 32,149,599,331.03
  5. Step 5: Solve for x
    x = 32,149,599,331.03/254,914.22
  6. Step 6: Final answer
    x = 126,119.29

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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.