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Finding the Fourth Proportional to 256,210.20, 384,372.90 and 78,725.40

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Solution

The fourth proportional to 256,210.20, 384,372.90 and 78,725.40 is: 118,105.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,210.20 : 384,372.90 = 78,725.40 : x
  2. Step 2: Convert to fraction form
    256,210.20/384,372.90 = 78,725.40/x
  3. Step 3: Cross multiply
    256,210.20x = 384,372.90 × 78,725.40
  4. Step 4: Simplify right side
    256,210.20x = 30,259,910,301.66
  5. Step 5: Solve for x
    x = 30,259,910,301.66/256,210.20
  6. Step 6: Final answer
    x = 118,105.80

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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.