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Finding the Fourth Proportional to 142,171.66, 213,087.84 and 66,167.92

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Solution

The fourth proportional to 142,171.66, 213,087.84 and 66,167.92 is: 99,172.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,171.66 : 213,087.84 = 66,167.92 : x
  2. Step 2: Convert to fraction form
    142,171.66/213,087.84 = 66,167.92/x
  3. Step 3: Cross multiply
    142,171.66x = 213,087.84 × 66,167.92
  4. Step 4: Simplify right side
    142,171.66x = 14,099,579,150.09
  5. Step 5: Solve for x
    x = 14,099,579,150.09/142,171.66
  6. Step 6: Final answer
    x = 99,172.92

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.