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Finding the Fourth Proportional to 99,643.41, 149,361.26 and 43,468.43

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Solution

The fourth proportional to 99,643.41, 149,361.26 and 43,468.43 is: 65,157.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,643.41 : 149,361.26 = 43,468.43 : x
  2. Step 2: Convert to fraction form
    99,643.41/149,361.26 = 43,468.43/x
  3. Step 3: Cross multiply
    99,643.41x = 149,361.26 × 43,468.43
  4. Step 4: Simplify right side
    99,643.41x = 6,492,498,510.87
  5. Step 5: Solve for x
    x = 6,492,498,510.87/99,643.41
  6. Step 6: Final answer
    x = 65,157.33

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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.