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Finding the Fourth Proportional to 227,989.92, 341,925.30 and 68,028.24

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Solution

The fourth proportional to 227,989.92, 341,925.30 and 68,028.24 is: 102,024.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    227,989.92 : 341,925.30 = 68,028.24 : x
  2. Step 2: Convert to fraction form
    227,989.92/341,925.30 = 68,028.24/x
  3. Step 3: Cross multiply
    227,989.92x = 341,925.30 × 68,028.24
  4. Step 4: Simplify right side
    227,989.92x = 23,260,576,370.47
  5. Step 5: Solve for x
    x = 23,260,576,370.47/227,989.92
  6. Step 6: Final answer
    x = 102,024.58

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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.