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Finding the Fourth Proportional to 256,762.78, 354,326 and 142,038.44

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Solution

The fourth proportional to 256,762.78, 354,326 and 142,038.44 is: 196,009.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,762.78 : 354,326 = 142,038.44 : x
  2. Step 2: Convert to fraction form
    256,762.78/354,326 = 142,038.44/x
  3. Step 3: Cross multiply
    256,762.78x = 354,326 × 142,038.44
  4. Step 4: Simplify right side
    256,762.78x = 50,327,912,291.44
  5. Step 5: Solve for x
    x = 50,327,912,291.44/256,762.78
  6. Step 6: Final answer
    x = 196,009.38

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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.