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Finding the Fourth Proportional to 174,908, 262,406.28 and 50,249

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Solution

The fourth proportional to 174,908, 262,406.28 and 50,249 is: 75,386.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    174,908 : 262,406.28 = 50,249 : x
  2. Step 2: Convert to fraction form
    174,908/262,406.28 = 50,249/x
  3. Step 3: Cross multiply
    174,908x = 262,406.28 × 50,249
  4. Step 4: Simplify right side
    174,908x = 13,185,653,163.72
  5. Step 5: Solve for x
    x = 13,185,653,163.72/174,908
  6. Step 6: Final answer
    x = 75,386.22

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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.