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Finding the Fourth Proportional to 174,901, 262,395.78 and 50,242

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Solution

The fourth proportional to 174,901, 262,395.78 and 50,242 is: 75,375.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    174,901 : 262,395.78 = 50,242 : x
  2. Step 2: Convert to fraction form
    174,901/262,395.78 = 50,242/x
  3. Step 3: Cross multiply
    174,901x = 262,395.78 × 50,242
  4. Step 4: Simplify right side
    174,901x = 13,183,288,778.76
  5. Step 5: Solve for x
    x = 13,183,288,778.76/174,901
  6. Step 6: Final answer
    x = 75,375.72

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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.