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Finding the Fourth Proportional to 102,767, 154,181.58 and 72,839.12

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Solution

The fourth proportional to 102,767, 154,181.58 and 72,839.12 is: 109,280.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,767 : 154,181.58 = 72,839.12 : x
  2. Step 2: Convert to fraction form
    102,767/154,181.58 = 72,839.12/x
  3. Step 3: Cross multiply
    102,767x = 154,181.58 × 72,839.12
  4. Step 4: Simplify right side
    102,767x = 11,230,450,607.41
  5. Step 5: Solve for x
    x = 11,230,450,607.41/102,767
  6. Step 6: Final answer
    x = 109,280.71

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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.