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Finding the Fourth Proportional to 119,140.92, 178,672.50 and 52,578.36

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Solution

The fourth proportional to 119,140.92, 178,672.50 and 52,578.36 is: 78,850.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,140.92 : 178,672.50 = 52,578.36 : x
  2. Step 2: Convert to fraction form
    119,140.92/178,672.50 = 52,578.36/x
  3. Step 3: Cross multiply
    119,140.92x = 178,672.50 × 52,578.36
  4. Step 4: Simplify right side
    119,140.92x = 9,394,307,027.10
  5. Step 5: Solve for x
    x = 9,394,307,027.10/119,140.92
  6. Step 6: Final answer
    x = 78,850.38

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.