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Finding the Fourth Proportional to 256,056.34, 353,368.84 and 142,879.09

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Solution

The fourth proportional to 256,056.34, 353,368.84 and 142,879.09 is: 197,179.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,056.34 : 353,368.84 = 142,879.09 : x
  2. Step 2: Convert to fraction form
    256,056.34/353,368.84 = 142,879.09/x
  3. Step 3: Cross multiply
    256,056.34x = 353,368.84 × 142,879.09
  4. Step 4: Simplify right side
    256,056.34x = 50,489,018,293.56
  5. Step 5: Solve for x
    x = 50,489,018,293.56/256,056.34
  6. Step 6: Final answer
    x = 197,179.33

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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.