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Finding the Fourth Proportional to 116,442.60, 174,664.86 and 72,198.12

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Solution

The fourth proportional to 116,442.60, 174,664.86 and 72,198.12 is: 108,297.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    116,442.60 : 174,664.86 = 72,198.12 : x
  2. Step 2: Convert to fraction form
    116,442.60/174,664.86 = 72,198.12/x
  3. Step 3: Cross multiply
    116,442.60x = 174,664.86 × 72,198.12
  4. Step 4: Simplify right side
    116,442.60x = 12,610,474,522.06
  5. Step 5: Solve for x
    x = 12,610,474,522.06/116,442.60
  6. Step 6: Final answer
    x = 108,297.78

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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.