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Finding the Fourth Proportional to 256,275.45, 384,449.92 and 78,797.36

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Solution

The fourth proportional to 256,275.45, 384,449.92 and 78,797.36 is: 118,207.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,275.45 : 384,449.92 = 78,797.36 : x
  2. Step 2: Convert to fraction form
    256,275.45/384,449.92 = 78,797.36/x
  3. Step 3: Cross multiply
    256,275.45x = 384,449.92 × 78,797.36
  4. Step 4: Simplify right side
    256,275.45x = 30,293,639,512.34
  5. Step 5: Solve for x
    x = 30,293,639,512.34/256,275.45
  6. Step 6: Final answer
    x = 118,207.34

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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.