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Finding the Fourth Proportional to 132,112.19, 182,314.21 and 71,682.68

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Solution

The fourth proportional to 132,112.19, 182,314.21 and 71,682.68 is: 98,921.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,112.19 : 182,314.21 = 71,682.68 : x
  2. Step 2: Convert to fraction form
    132,112.19/182,314.21 = 71,682.68/x
  3. Step 3: Cross multiply
    132,112.19x = 182,314.21 × 71,682.68
  4. Step 4: Simplify right side
    132,112.19x = 13,068,771,174.88
  5. Step 5: Solve for x
    x = 13,068,771,174.88/132,112.19
  6. Step 6: Final answer
    x = 98,921.77

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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.