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Finding the Fourth Proportional to 76,509.10, 114,651.60 and 68,611.60

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Solution

The fourth proportional to 76,509.10, 114,651.60 and 68,611.60 is: 102,816.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,509.10 : 114,651.60 = 68,611.60 : x
  2. Step 2: Convert to fraction form
    76,509.10/114,651.60 = 68,611.60/x
  3. Step 3: Cross multiply
    76,509.10x = 114,651.60 × 68,611.60
  4. Step 4: Simplify right side
    76,509.10x = 7,866,429,718.56
  5. Step 5: Solve for x
    x = 7,866,429,718.56/76,509.10
  6. Step 6: Final answer
    x = 102,816.92

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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.