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Finding the Fourth Proportional to 176,835.62, 265,262.22 and 50,494.61

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Solution

The fourth proportional to 176,835.62, 265,262.22 and 50,494.61 is: 75,744.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    176,835.62 : 265,262.22 = 50,494.61 : x
  2. Step 2: Convert to fraction form
    176,835.62/265,262.22 = 50,494.61/x
  3. Step 3: Cross multiply
    176,835.62x = 265,262.22 × 50,494.61
  4. Step 4: Simplify right side
    176,835.62x = 13,394,311,020.32
  5. Step 5: Solve for x
    x = 13,394,311,020.32/176,835.62
  6. Step 6: Final answer
    x = 75,744.42

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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.