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Finding the Fourth Proportional to 176,111.80, 263,822.10 and 105,782.20

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Solution

The fourth proportional to 176,111.80, 263,822.10 and 105,782.20 is: 158,465.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    176,111.80 : 263,822.10 = 105,782.20 : x
  2. Step 2: Convert to fraction form
    176,111.80/263,822.10 = 105,782.20/x
  3. Step 3: Cross multiply
    176,111.80x = 263,822.10 × 105,782.20
  4. Step 4: Simplify right side
    176,111.80x = 27,907,682,146.62
  5. Step 5: Solve for x
    x = 27,907,682,146.62/176,111.80
  6. Step 6: Final answer
    x = 158,465.71

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.