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Finding the Fourth Proportional to 123,446.34, 170,429.36 and 78,163.14

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Solution

The fourth proportional to 123,446.34, 170,429.36 and 78,163.14 is: 107,911.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,446.34 : 170,429.36 = 78,163.14 : x
  2. Step 2: Convert to fraction form
    123,446.34/170,429.36 = 78,163.14/x
  3. Step 3: Cross multiply
    123,446.34x = 170,429.36 × 78,163.14
  4. Step 4: Simplify right side
    123,446.34x = 13,321,293,925.79
  5. Step 5: Solve for x
    x = 13,321,293,925.79/123,446.34
  6. Step 6: Final answer
    x = 107,911.62

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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.