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Finding the Fourth Proportional to 256,406.37, 353,840.77 and 143,229.12

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Solution

The fourth proportional to 256,406.37, 353,840.77 and 143,229.12 is: 197,656.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,406.37 : 353,840.77 = 143,229.12 : x
  2. Step 2: Convert to fraction form
    256,406.37/353,840.77 = 143,229.12/x
  3. Step 3: Cross multiply
    256,406.37x = 353,840.77 × 143,229.12
  4. Step 4: Simplify right side
    256,406.37x = 50,680,302,107.22
  5. Step 5: Solve for x
    x = 50,680,302,107.22/256,406.37
  6. Step 6: Final answer
    x = 197,656.17

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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.