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Finding the Fourth Proportional to 256,042.40, 384,063.60 and 89,847.20

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Solution

The fourth proportional to 256,042.40, 384,063.60 and 89,847.20 is: 134,770.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,042.40 : 384,063.60 = 89,847.20 : x
  2. Step 2: Convert to fraction form
    256,042.40/384,063.60 = 89,847.20/x
  3. Step 3: Cross multiply
    256,042.40x = 384,063.60 × 89,847.20
  4. Step 4: Simplify right side
    256,042.40x = 34,507,039,081.92
  5. Step 5: Solve for x
    x = 34,507,039,081.92/256,042.40
  6. Step 6: Final answer
    x = 134,770.80

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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.