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Finding the Fourth Proportional to 132,674.40, 182,950.36 and 102,464.64

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Solution

The fourth proportional to 132,674.40, 182,950.36 and 102,464.64 is: 141,292.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,674.40 : 182,950.36 = 102,464.64 : x
  2. Step 2: Convert to fraction form
    132,674.40/182,950.36 = 102,464.64/x
  3. Step 3: Cross multiply
    132,674.40x = 182,950.36 × 102,464.64
  4. Step 4: Simplify right side
    132,674.40x = 18,745,942,775.27
  5. Step 5: Solve for x
    x = 18,745,942,775.27/132,674.40
  6. Step 6: Final answer
    x = 141,292.84

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.