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Finding the Fourth Proportional to 106,067.94, 159,118.28 and 66,056.30

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Solution

The fourth proportional to 106,067.94, 159,118.28 and 66,056.30 is: 99,094.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,067.94 : 159,118.28 = 66,056.30 : x
  2. Step 2: Convert to fraction form
    106,067.94/159,118.28 = 66,056.30/x
  3. Step 3: Cross multiply
    106,067.94x = 159,118.28 × 66,056.30
  4. Step 4: Simplify right side
    106,067.94x = 10,510,764,839.16
  5. Step 5: Solve for x
    x = 10,510,764,839.16/106,067.94
  6. Step 6: Final answer
    x = 99,094.64

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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.