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Finding the Fourth Proportional to 78,105, 117,193.20 and 42,513

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Solution

The fourth proportional to 78,105, 117,193.20 and 42,513 is: 63,788.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,105 : 117,193.20 = 42,513 : x
  2. Step 2: Convert to fraction form
    78,105/117,193.20 = 42,513/x
  3. Step 3: Cross multiply
    78,105x = 117,193.20 × 42,513
  4. Step 4: Simplify right side
    78,105x = 4,982,234,511.60
  5. Step 5: Solve for x
    x = 4,982,234,511.60/78,105
  6. Step 6: Final answer
    x = 63,788.93

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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.