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Finding the Fourth Proportional to 256,100.96, 383,889 and 98,287.04

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Solution

The fourth proportional to 256,100.96, 383,889 and 98,287.04 is: 147,329.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,100.96 : 383,889 = 98,287.04 : x
  2. Step 2: Convert to fraction form
    256,100.96/383,889 = 98,287.04/x
  3. Step 3: Cross multiply
    256,100.96x = 383,889 × 98,287.04
  4. Step 4: Simplify right side
    256,100.96x = 37,731,313,498.56
  5. Step 5: Solve for x
    x = 37,731,313,498.56/256,100.96
  6. Step 6: Final answer
    x = 147,329.84

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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.