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Finding the Fourth Proportional to 213,469.16, 294,396.74 and 177,113.04

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Solution

The fourth proportional to 213,469.16, 294,396.74 and 177,113.04 is: 244,257.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,469.16 : 294,396.74 = 177,113.04 : x
  2. Step 2: Convert to fraction form
    213,469.16/294,396.74 = 177,113.04/x
  3. Step 3: Cross multiply
    213,469.16x = 294,396.74 × 177,113.04
  4. Step 4: Simplify right side
    213,469.16x = 52,141,500,701.92
  5. Step 5: Solve for x
    x = 52,141,500,701.92/213,469.16
  6. Step 6: Final answer
    x = 244,257.77

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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.