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Finding the Fourth Proportional to 199,324.32, 274,911.84 and 127,711.32

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Solution

The fourth proportional to 199,324.32, 274,911.84 and 127,711.32 is: 176,141.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,324.32 : 274,911.84 = 127,711.32 : x
  2. Step 2: Convert to fraction form
    199,324.32/274,911.84 = 127,711.32/x
  3. Step 3: Cross multiply
    199,324.32x = 274,911.84 × 127,711.32
  4. Step 4: Simplify right side
    199,324.32x = 35,109,353,970.03
  5. Step 5: Solve for x
    x = 35,109,353,970.03/199,324.32
  6. Step 6: Final answer
    x = 176,141.85

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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.