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Finding the Fourth Proportional to 132,451.49, 182,850.80 and 102,168.83

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Solution

The fourth proportional to 132,451.49, 182,850.80 and 102,168.83 is: 141,045.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,451.49 : 182,850.80 = 102,168.83 : x
  2. Step 2: Convert to fraction form
    132,451.49/182,850.80 = 102,168.83/x
  3. Step 3: Cross multiply
    132,451.49x = 182,850.80 × 102,168.83
  4. Step 4: Simplify right side
    132,451.49x = 18,681,652,246.85
  5. Step 5: Solve for x
    x = 18,681,652,246.85/132,451.49
  6. Step 6: Final answer
    x = 141,045.24

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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.