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Finding the Fourth Proportional to 262,190.50, 361,822.37 and 147,467.32

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Solution

The fourth proportional to 262,190.50, 361,822.37 and 147,467.32 is: 203,504.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    262,190.50 : 361,822.37 = 147,467.32 : x
  2. Step 2: Convert to fraction form
    262,190.50/361,822.37 = 147,467.32/x
  3. Step 3: Cross multiply
    262,190.50x = 361,822.37 × 147,467.32
  4. Step 4: Simplify right side
    262,190.50x = 53,356,973,578.06
  5. Step 5: Solve for x
    x = 53,356,973,578.06/262,190.50
  6. Step 6: Final answer
    x = 203,504.60

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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.