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Finding the Fourth Proportional to 104,866.60, 156,971.85 and 82,559.20

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Solution

The fourth proportional to 104,866.60, 156,971.85 and 82,559.20 is: 123,580.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    104,866.60 : 156,971.85 = 82,559.20 : x
  2. Step 2: Convert to fraction form
    104,866.60/156,971.85 = 82,559.20/x
  3. Step 3: Cross multiply
    104,866.60x = 156,971.85 × 82,559.20
  4. Step 4: Simplify right side
    104,866.60x = 12,959,470,358.52
  5. Step 5: Solve for x
    x = 12,959,470,358.52/104,866.60
  6. Step 6: Final answer
    x = 123,580.53

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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.