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Finding the Fourth Proportional to 256,020.51, 353,308.32 and 142,843.26

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Solution

The fourth proportional to 256,020.51, 353,308.32 and 142,843.26 is: 197,123.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,020.51 : 353,308.32 = 142,843.26 : x
  2. Step 2: Convert to fraction form
    256,020.51/353,308.32 = 142,843.26/x
  3. Step 3: Cross multiply
    256,020.51x = 353,308.32 × 142,843.26
  4. Step 4: Simplify right side
    256,020.51x = 50,467,712,213.92
  5. Step 5: Solve for x
    x = 50,467,712,213.92/256,020.51
  6. Step 6: Final answer
    x = 197,123.71

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.