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Finding the Fourth Proportional to 132,017.98, 182,194.45 and 75,428.14

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Solution

The fourth proportional to 132,017.98, 182,194.45 and 75,428.14 is: 104,096.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,017.98 : 182,194.45 = 75,428.14 : x
  2. Step 2: Convert to fraction form
    132,017.98/182,194.45 = 75,428.14/x
  3. Step 3: Cross multiply
    132,017.98x = 182,194.45 × 75,428.14
  4. Step 4: Simplify right side
    132,017.98x = 13,742,588,481.82
  5. Step 5: Solve for x
    x = 13,742,588,481.82/132,017.98
  6. Step 6: Final answer
    x = 104,096.34

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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.