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Finding the Fourth Proportional to 378,099.92, 567,201.72 and 167,733.20

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Solution

The fourth proportional to 378,099.92, 567,201.72 and 167,733.20 is: 251,622.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    378,099.92 : 567,201.72 = 167,733.20 : x
  2. Step 2: Convert to fraction form
    378,099.92/567,201.72 = 167,733.20/x
  3. Step 3: Cross multiply
    378,099.92x = 567,201.72 × 167,733.20
  4. Step 4: Simplify right side
    378,099.92x = 95,138,559,541.10
  5. Step 5: Solve for x
    x = 95,138,559,541.10/378,099.92
  6. Step 6: Final answer
    x = 251,622.80

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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.