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Finding the Fourth Proportional to 256,099.44, 353,407.95 and 141,375.60

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Solution

The fourth proportional to 256,099.44, 353,407.95 and 141,375.60 is: 195,093.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,099.44 : 353,407.95 = 141,375.60 : x
  2. Step 2: Convert to fraction form
    256,099.44/353,407.95 = 141,375.60/x
  3. Step 3: Cross multiply
    256,099.44x = 353,407.95 × 141,375.60
  4. Step 4: Simplify right side
    256,099.44x = 49,963,260,976.02
  5. Step 5: Solve for x
    x = 49,963,260,976.02/256,099.44
  6. Step 6: Final answer
    x = 195,093.21

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1.5x scale

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.