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Finding the Fourth Proportional to 256,627.10, 385,006.32 and 106,817.60

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Solution

The fourth proportional to 256,627.10, 385,006.32 and 106,817.60 is: 160,253.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,627.10 : 385,006.32 = 106,817.60 : x
  2. Step 2: Convert to fraction form
    256,627.10/385,006.32 = 106,817.60/x
  3. Step 3: Cross multiply
    256,627.10x = 385,006.32 × 106,817.60
  4. Step 4: Simplify right side
    256,627.10x = 41,125,451,087.23
  5. Step 5: Solve for x
    x = 41,125,451,087.23/256,627.10
  6. Step 6: Final answer
    x = 160,253.73

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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.