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Finding the Fourth Proportional to 256,383.78, 353,815.20 and 143,206.80

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Solution

The fourth proportional to 256,383.78, 353,815.20 and 143,206.80 is: 197,628.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,383.78 : 353,815.20 = 143,206.80 : x
  2. Step 2: Convert to fraction form
    256,383.78/353,815.20 = 143,206.80/x
  3. Step 3: Cross multiply
    256,383.78x = 353,815.20 × 143,206.80
  4. Step 4: Simplify right side
    256,383.78x = 50,668,742,583.36
  5. Step 5: Solve for x
    x = 50,668,742,583.36/256,383.78
  6. Step 6: Final answer
    x = 197,628.50

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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.