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Finding the Fourth Proportional to 256,433.38, 384,611.19 and 90,182.50

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Solution

The fourth proportional to 256,433.38, 384,611.19 and 90,182.50 is: 135,260.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,433.38 : 384,611.19 = 90,182.50 : x
  2. Step 2: Convert to fraction form
    256,433.38/384,611.19 = 90,182.50/x
  3. Step 3: Cross multiply
    256,433.38x = 384,611.19 × 90,182.50
  4. Step 4: Simplify right side
    256,433.38x = 34,685,198,642.18
  5. Step 5: Solve for x
    x = 34,685,198,642.18/256,433.38
  6. Step 6: Final answer
    x = 135,260.08

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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.