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Finding the Fourth Proportional to 132,465.48, 182,676.77 and 102,202.86

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Solution

The fourth proportional to 132,465.48, 182,676.77 and 102,202.86 is: 140,943.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,465.48 : 182,676.77 = 102,202.86 : x
  2. Step 2: Convert to fraction form
    132,465.48/182,676.77 = 102,202.86/x
  3. Step 3: Cross multiply
    132,465.48x = 182,676.77 × 102,202.86
  4. Step 4: Simplify right side
    132,465.48x = 18,670,088,906.85
  5. Step 5: Solve for x
    x = 18,670,088,906.85/132,465.48
  6. Step 6: Final answer
    x = 140,943.06

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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.