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Finding the Fourth Proportional to 81,843.60, 122,765.40 and 72,002.10

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Solution

The fourth proportional to 81,843.60, 122,765.40 and 72,002.10 is: 108,003.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,843.60 : 122,765.40 = 72,002.10 : x
  2. Step 2: Convert to fraction form
    81,843.60/122,765.40 = 72,002.10/x
  3. Step 3: Cross multiply
    81,843.60x = 122,765.40 × 72,002.10
  4. Step 4: Simplify right side
    81,843.60x = 8,839,366,607.34
  5. Step 5: Solve for x
    x = 8,839,366,607.34/81,843.60
  6. Step 6: Final answer
    x = 108,003.15

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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.