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Finding the Fourth Proportional to 273,005.84, 409,493.82 and 83,466.11

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Solution

The fourth proportional to 273,005.84, 409,493.82 and 83,466.11 is: 125,194.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    273,005.84 : 409,493.82 = 83,466.11 : x
  2. Step 2: Convert to fraction form
    273,005.84/409,493.82 = 83,466.11/x
  3. Step 3: Cross multiply
    273,005.84x = 409,493.82 × 83,466.11
  4. Step 4: Simplify right side
    273,005.84x = 34,178,856,224.44
  5. Step 5: Solve for x
    x = 34,178,856,224.44/273,005.84
  6. Step 6: Final answer
    x = 125,194.60

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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.