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Finding the Fourth Proportional to 132,286.32, 182,485.14 and 83,802.72

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Solution

The fourth proportional to 132,286.32, 182,485.14 and 83,802.72 is: 115,603.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,286.32 : 182,485.14 = 83,802.72 : x
  2. Step 2: Convert to fraction form
    132,286.32/182,485.14 = 83,802.72/x
  3. Step 3: Cross multiply
    132,286.32x = 182,485.14 × 83,802.72
  4. Step 4: Simplify right side
    132,286.32x = 15,292,751,091.58
  5. Step 5: Solve for x
    x = 15,292,751,091.58/132,286.32
  6. Step 6: Final answer
    x = 115,603.42

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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.