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Finding the Fourth Proportional to 132,051.33, 182,198.16 and 78,349.14

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Solution

The fourth proportional to 132,051.33, 182,198.16 and 78,349.14 is: 108,102.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,051.33 : 182,198.16 = 78,349.14 : x
  2. Step 2: Convert to fraction form
    132,051.33/182,198.16 = 78,349.14/x
  3. Step 3: Cross multiply
    132,051.33x = 182,198.16 × 78,349.14
  4. Step 4: Simplify right side
    132,051.33x = 14,275,069,145.58
  5. Step 5: Solve for x
    x = 14,275,069,145.58/132,051.33
  6. Step 6: Final answer
    x = 108,102.43

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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.