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Finding the Fourth Proportional to 256,004.36, 353,286.24 and 142,827.14

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Solution

The fourth proportional to 256,004.36, 353,286.24 and 142,827.14 is: 197,101.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,004.36 : 353,286.24 = 142,827.14 : x
  2. Step 2: Convert to fraction form
    256,004.36/353,286.24 = 142,827.14/x
  3. Step 3: Cross multiply
    256,004.36x = 353,286.24 × 142,827.14
  4. Step 4: Simplify right side
    256,004.36x = 50,458,863,260.55
  5. Step 5: Solve for x
    x = 50,458,863,260.55/256,004.36
  6. Step 6: Final answer
    x = 197,101.58

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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.