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Finding the Fourth Proportional to 256,562.10, 354,056.22 and 143,384.85

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Solution

The fourth proportional to 256,562.10, 354,056.22 and 143,384.85 is: 197,871.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,562.10 : 354,056.22 = 143,384.85 : x
  2. Step 2: Convert to fraction form
    256,562.10/354,056.22 = 143,384.85/x
  3. Step 3: Cross multiply
    256,562.10x = 354,056.22 × 143,384.85
  4. Step 4: Simplify right side
    256,562.10x = 50,766,297,996.27
  5. Step 5: Solve for x
    x = 50,766,297,996.27/256,562.10
  6. Step 6: Final answer
    x = 197,871.38

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.