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Finding the Fourth Proportional to 81,709.20, 122,592.60 and 78,829.20

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Solution

The fourth proportional to 81,709.20, 122,592.60 and 78,829.20 is: 118,271.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,709.20 : 122,592.60 = 78,829.20 : x
  2. Step 2: Convert to fraction form
    81,709.20/122,592.60 = 78,829.20/x
  3. Step 3: Cross multiply
    81,709.20x = 122,592.60 × 78,829.20
  4. Step 4: Simplify right side
    81,709.20x = 9,663,876,583.92
  5. Step 5: Solve for x
    x = 9,663,876,583.92/81,709.20
  6. Step 6: Final answer
    x = 118,271.58

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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.