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Finding the Fourth Proportional to 216,106.77, 297,950.11 and 177,201.26

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Solution

The fourth proportional to 216,106.77, 297,950.11 and 177,201.26 is: 244,310.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    216,106.77 : 297,950.11 = 177,201.26 : x
  2. Step 2: Convert to fraction form
    216,106.77/297,950.11 = 177,201.26/x
  3. Step 3: Cross multiply
    216,106.77x = 297,950.11 × 177,201.26
  4. Step 4: Simplify right side
    216,106.77x = 52,797,132,976.38
  5. Step 5: Solve for x
    x = 52,797,132,976.38/216,106.77
  6. Step 6: Final answer
    x = 244,310.41

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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.