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Finding the Fourth Proportional to 294,099.60, 441,166.14 and 83,721

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Solution

The fourth proportional to 294,099.60, 441,166.14 and 83,721 is: 125,586.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    294,099.60 : 441,166.14 = 83,721 : x
  2. Step 2: Convert to fraction form
    294,099.60/441,166.14 = 83,721/x
  3. Step 3: Cross multiply
    294,099.60x = 441,166.14 × 83,721
  4. Step 4: Simplify right side
    294,099.60x = 36,934,870,406.94
  5. Step 5: Solve for x
    x = 36,934,870,406.94/294,099.60
  6. Step 6: Final answer
    x = 125,586.27

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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.