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Finding the Fourth Proportional to 256,352.27, 384,529.35 and 78,858.05

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Solution

The fourth proportional to 256,352.27, 384,529.35 and 78,858.05 is: 118,287.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,352.27 : 384,529.35 = 78,858.05 : x
  2. Step 2: Convert to fraction form
    256,352.27/384,529.35 = 78,858.05/x
  3. Step 3: Cross multiply
    256,352.27x = 384,529.35 × 78,858.05
  4. Step 4: Simplify right side
    256,352.27x = 30,323,234,708.77
  5. Step 5: Solve for x
    x = 30,323,234,708.77/256,352.27
  6. Step 6: Final answer
    x = 118,287.37

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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.