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Finding the Fourth Proportional to 262,851.28, 362,734.41 and 149,674.03

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Solution

The fourth proportional to 262,851.28, 362,734.41 and 149,674.03 is: 206,549.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    262,851.28 : 362,734.41 = 149,674.03 : x
  2. Step 2: Convert to fraction form
    262,851.28/362,734.41 = 149,674.03/x
  3. Step 3: Cross multiply
    262,851.28x = 362,734.41 × 149,674.03
  4. Step 4: Simplify right side
    262,851.28x = 54,291,920,964.37
  5. Step 5: Solve for x
    x = 54,291,920,964.37/262,851.28
  6. Step 6: Final answer
    x = 206,549.96

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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.