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Finding the Fourth Proportional to 305,981.69, 422,133.73 and 176,896.37

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Solution

The fourth proportional to 305,981.69, 422,133.73 and 176,896.37 is: 244,047.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,981.69 : 422,133.73 = 176,896.37 : x
  2. Step 2: Convert to fraction form
    305,981.69/422,133.73 = 176,896.37/x
  3. Step 3: Cross multiply
    305,981.69x = 422,133.73 × 176,896.37
  4. Step 4: Simplify right side
    305,981.69x = 74,673,925,104.65
  5. Step 5: Solve for x
    x = 74,673,925,104.65/305,981.69
  6. Step 6: Final answer
    x = 244,047.04

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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.