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Finding the Fourth Proportional to 256,727.82, 354,166.50 and 166,113.32

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Solution

The fourth proportional to 256,727.82, 354,166.50 and 166,113.32 is: 229,160.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,727.82 : 354,166.50 = 166,113.32 : x
  2. Step 2: Convert to fraction form
    256,727.82/354,166.50 = 166,113.32/x
  3. Step 3: Cross multiply
    256,727.82x = 354,166.50 × 166,113.32
  4. Step 4: Simplify right side
    256,727.82x = 58,831,773,147.78
  5. Step 5: Solve for x
    x = 58,831,773,147.78/256,727.82
  6. Step 6: Final answer
    x = 229,160.10

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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.