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Finding the Fourth Proportional to 81,715.20, 122,601.60 and 78,835.20

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Solution

The fourth proportional to 81,715.20, 122,601.60 and 78,835.20 is: 118,280.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,715.20 : 122,601.60 = 78,835.20 : x
  2. Step 2: Convert to fraction form
    81,715.20/122,601.60 = 78,835.20/x
  3. Step 3: Cross multiply
    81,715.20x = 122,601.60 × 78,835.20
  4. Step 4: Simplify right side
    81,715.20x = 9,665,321,656.32
  5. Step 5: Solve for x
    x = 9,665,321,656.32/81,715.20
  6. Step 6: Final answer
    x = 118,280.58

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Why These Related Problems?

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