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Finding the Fourth Proportional to 256,043.50, 383,962.56 and 106,181.98

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Solution

The fourth proportional to 256,043.50, 383,962.56 and 106,181.98 is: 159,230.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,043.50 : 383,962.56 = 106,181.98 : x
  2. Step 2: Convert to fraction form
    256,043.50/383,962.56 = 106,181.98/x
  3. Step 3: Cross multiply
    256,043.50x = 383,962.56 × 106,181.98
  4. Step 4: Simplify right side
    256,043.50x = 40,769,904,866.67
  5. Step 5: Solve for x
    x = 40,769,904,866.67/256,043.50
  6. Step 6: Final answer
    x = 159,230.38

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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.