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Finding the Fourth Proportional to 256,180.40, 384,270.60 and 89,968.40

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Solution

The fourth proportional to 256,180.40, 384,270.60 and 89,968.40 is: 134,952.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,180.40 : 384,270.60 = 89,968.40 : x
  2. Step 2: Convert to fraction form
    256,180.40/384,270.60 = 89,968.40/x
  3. Step 3: Cross multiply
    256,180.40x = 384,270.60 × 89,968.40
  4. Step 4: Simplify right side
    256,180.40x = 34,572,211,049.04
  5. Step 5: Solve for x
    x = 34,572,211,049.04/256,180.40
  6. Step 6: Final answer
    x = 134,952.60

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.