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Finding the Fourth Proportional to 256,034.24, 353,327.03 and 142,856.99

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Solution

The fourth proportional to 256,034.24, 353,327.03 and 142,856.99 is: 197,142.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,034.24 : 353,327.03 = 142,856.99 : x
  2. Step 2: Convert to fraction form
    256,034.24/353,327.03 = 142,856.99/x
  3. Step 3: Cross multiply
    256,034.24x = 353,327.03 × 142,856.99
  4. Step 4: Simplify right side
    256,034.24x = 50,475,235,371.21
  5. Step 5: Solve for x
    x = 50,475,235,371.21/256,034.24
  6. Step 6: Final answer
    x = 197,142.52

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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.