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Finding the Fourth Proportional to 82,002.60, 122,874.30 and 68,783.40

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Solution

The fourth proportional to 82,002.60, 122,874.30 and 68,783.40 is: 103,066.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,002.60 : 122,874.30 = 68,783.40 : x
  2. Step 2: Convert to fraction form
    82,002.60/122,874.30 = 68,783.40/x
  3. Step 3: Cross multiply
    82,002.60x = 122,874.30 × 68,783.40
  4. Step 4: Simplify right side
    82,002.60x = 8,451,712,126.62
  5. Step 5: Solve for x
    x = 8,451,712,126.62/82,002.60
  6. Step 6: Final answer
    x = 103,066.39

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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.