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Finding the Fourth Proportional to 262,716.39, 362,549.01 and 149,539.14

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Solution

The fourth proportional to 262,716.39, 362,549.01 and 149,539.14 is: 206,364.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    262,716.39 : 362,549.01 = 149,539.14 : x
  2. Step 2: Convert to fraction form
    262,716.39/362,549.01 = 149,539.14/x
  3. Step 3: Cross multiply
    262,716.39x = 362,549.01 × 149,539.14
  4. Step 4: Simplify right side
    262,716.39x = 54,215,267,163.25
  5. Step 5: Solve for x
    x = 54,215,267,163.25/262,716.39
  6. Step 6: Final answer
    x = 206,364.24

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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.