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Finding the Fourth Proportional to 132,018.96, 182,195.82 and 75,429.12

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Solution

The fourth proportional to 132,018.96, 182,195.82 and 75,429.12 is: 104,097.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,018.96 : 182,195.82 = 75,429.12 : x
  2. Step 2: Convert to fraction form
    132,018.96/182,195.82 = 75,429.12/x
  3. Step 3: Cross multiply
    132,018.96x = 182,195.82 × 75,429.12
  4. Step 4: Simplify right side
    132,018.96x = 13,742,870,370.28
  5. Step 5: Solve for x
    x = 13,742,870,370.28/132,018.96
  6. Step 6: Final answer
    x = 104,097.70

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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.