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Finding the Fourth Proportional to 107,136.64, 160,495.80 and 50,896.72

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Solution

The fourth proportional to 107,136.64, 160,495.80 and 50,896.72 is: 76,245.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,136.64 : 160,495.80 = 50,896.72 : x
  2. Step 2: Convert to fraction form
    107,136.64/160,495.80 = 50,896.72/x
  3. Step 3: Cross multiply
    107,136.64x = 160,495.80 × 50,896.72
  4. Step 4: Simplify right side
    107,136.64x = 8,168,709,793.78
  5. Step 5: Solve for x
    x = 8,168,709,793.78/107,136.64
  6. Step 6: Final answer
    x = 76,245.72

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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.