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Finding the Fourth Proportional to 199,340.83, 274,866.87 and 162,929.30

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Solution

The fourth proportional to 199,340.83, 274,866.87 and 162,929.30 is: 224,659.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,340.83 : 274,866.87 = 162,929.30 : x
  2. Step 2: Convert to fraction form
    199,340.83/274,866.87 = 162,929.30/x
  3. Step 3: Cross multiply
    199,340.83x = 274,866.87 × 162,929.30
  4. Step 4: Simplify right side
    199,340.83x = 44,783,867,409.46
  5. Step 5: Solve for x
    x = 44,783,867,409.46/199,340.83
  6. Step 6: Final answer
    x = 224,659.78

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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.