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Finding the Fourth Proportional to 262,043.19, 361,617.41 and 147,322.34

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Solution

The fourth proportional to 262,043.19, 361,617.41 and 147,322.34 is: 203,303.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    262,043.19 : 361,617.41 = 147,322.34 : x
  2. Step 2: Convert to fraction form
    262,043.19/361,617.41 = 147,322.34/x
  3. Step 3: Cross multiply
    262,043.19x = 361,617.41 × 147,322.34
  4. Step 4: Simplify right side
    262,043.19x = 53,274,320,481.24
  5. Step 5: Solve for x
    x = 53,274,320,481.24/262,043.19
  6. Step 6: Final answer
    x = 203,303.59

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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.