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Finding the Fourth Proportional to 102,949.30, 142,063.14 and 57,619.54

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Solution

The fourth proportional to 102,949.30, 142,063.14 and 57,619.54 is: 79,511.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,949.30 : 142,063.14 = 57,619.54 : x
  2. Step 2: Convert to fraction form
    102,949.30/142,063.14 = 57,619.54/x
  3. Step 3: Cross multiply
    102,949.30x = 142,063.14 × 57,619.54
  4. Step 4: Simplify right side
    102,949.30x = 8,185,612,777.76
  5. Step 5: Solve for x
    x = 8,185,612,777.76/102,949.30
  6. Step 6: Final answer
    x = 79,511.11

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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.