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Finding the Fourth Proportional to 541,200.84, 811,879.02 and 167,253

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Solution

The fourth proportional to 541,200.84, 811,879.02 and 167,253 is: 250,903.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    541,200.84 : 811,879.02 = 167,253 : x
  2. Step 2: Convert to fraction form
    541,200.84/811,879.02 = 167,253/x
  3. Step 3: Cross multiply
    541,200.84x = 811,879.02 × 167,253
  4. Step 4: Simplify right side
    541,200.84x = 135,789,201,732.06
  5. Step 5: Solve for x
    x = 135,789,201,732.06/541,200.84
  6. Step 6: Final answer
    x = 250,903.53

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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.