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Finding the Fourth Proportional to 256,709.96, 354,151.26 and 171,854.36

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Solution

The fourth proportional to 256,709.96, 354,151.26 and 171,854.36 is: 237,086.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,709.96 : 354,151.26 = 171,854.36 : x
  2. Step 2: Convert to fraction form
    256,709.96/354,151.26 = 171,854.36/x
  3. Step 3: Cross multiply
    256,709.96x = 354,151.26 × 171,854.36
  4. Step 4: Simplify right side
    256,709.96x = 60,862,436,359.74
  5. Step 5: Solve for x
    x = 60,862,436,359.74/256,709.96
  6. Step 6: Final answer
    x = 237,086.39

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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.