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Finding the Fourth Proportional to 256,407.12, 353,845.56 and 141,688.44

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Solution

The fourth proportional to 256,407.12, 353,845.56 and 141,688.44 is: 195,532.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,407.12 : 353,845.56 = 141,688.44 : x
  2. Step 2: Convert to fraction form
    256,407.12/353,845.56 = 141,688.44/x
  3. Step 3: Cross multiply
    256,407.12x = 353,845.56 × 141,688.44
  4. Step 4: Simplify right side
    256,407.12x = 50,135,825,397.33
  5. Step 5: Solve for x
    x = 50,135,825,397.33/256,407.12
  6. Step 6: Final answer
    x = 195,532.11

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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.