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Finding the Fourth Proportional to 256,140.57, 353,441.37 and 142,968.09

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Solution

The fourth proportional to 256,140.57, 353,441.37 and 142,968.09 is: 197,277.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,140.57 : 353,441.37 = 142,968.09 : x
  2. Step 2: Convert to fraction form
    256,140.57/353,441.37 = 142,968.09/x
  3. Step 3: Cross multiply
    256,140.57x = 353,441.37 × 142,968.09
  4. Step 4: Simplify right side
    256,140.57x = 50,530,837,595.88
  5. Step 5: Solve for x
    x = 50,530,837,595.88/256,140.57
  6. Step 6: Final answer
    x = 197,277.76

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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.