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Finding the Fourth Proportional to 190,100.25, 262,308.96 and 109,512

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Solution

The fourth proportional to 190,100.25, 262,308.96 and 109,512 is: 151,109.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    190,100.25 : 262,308.96 = 109,512 : x
  2. Step 2: Convert to fraction form
    190,100.25/262,308.96 = 109,512/x
  3. Step 3: Cross multiply
    190,100.25x = 262,308.96 × 109,512
  4. Step 4: Simplify right side
    190,100.25x = 28,725,978,827.52
  5. Step 5: Solve for x
    x = 28,725,978,827.52/190,100.25
  6. Step 6: Final answer
    x = 151,109.63

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