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Finding the Fourth Proportional to 256,170.19, 353,513.50 and 148,766.62

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Solution

The fourth proportional to 256,170.19, 353,513.50 and 148,766.62 is: 205,297.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,170.19 : 353,513.50 = 148,766.62 : x
  2. Step 2: Convert to fraction form
    256,170.19/353,513.50 = 148,766.62/x
  3. Step 3: Cross multiply
    256,170.19x = 353,513.50 × 148,766.62
  4. Step 4: Simplify right side
    256,170.19x = 52,591,008,519.37
  5. Step 5: Solve for x
    x = 52,591,008,519.37/256,170.19
  6. Step 6: Final answer
    x = 205,297.14

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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.