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Finding the Fourth Proportional to 134,843.88, 201,950.40 and 106,574.16

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Solution

The fourth proportional to 134,843.88, 201,950.40 and 106,574.16 is: 159,611.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    134,843.88 : 201,950.40 = 106,574.16 : x
  2. Step 2: Convert to fraction form
    134,843.88/201,950.40 = 106,574.16/x
  3. Step 3: Cross multiply
    134,843.88x = 201,950.40 × 106,574.16
  4. Step 4: Simplify right side
    134,843.88x = 21,522,694,241.66
  5. Step 5: Solve for x
    x = 21,522,694,241.66/134,843.88
  6. Step 6: Final answer
    x = 159,611.95

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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.