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Finding the Fourth Proportional to 256,123.20, 384,181.20 and 115,881.60

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Solution

The fourth proportional to 256,123.20, 384,181.20 and 115,881.60 is: 173,820.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,123.20 : 384,181.20 = 115,881.60 : x
  2. Step 2: Convert to fraction form
    256,123.20/384,181.20 = 115,881.60/x
  3. Step 3: Cross multiply
    256,123.20x = 384,181.20 × 115,881.60
  4. Step 4: Simplify right side
    256,123.20x = 44,519,532,145.92
  5. Step 5: Solve for x
    x = 44,519,532,145.92/256,123.20
  6. Step 6: Final answer
    x = 173,820.77

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.