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Finding the Fourth Proportional to 183,200.68, 274,827.11 and 56,851.84

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Solution

The fourth proportional to 183,200.68, 274,827.11 and 56,851.84 is: 85,285.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    183,200.68 : 274,827.11 = 56,851.84 : x
  2. Step 2: Convert to fraction form
    183,200.68/274,827.11 = 56,851.84/x
  3. Step 3: Cross multiply
    183,200.68x = 274,827.11 × 56,851.84
  4. Step 4: Simplify right side
    183,200.68x = 15,624,427,910.09
  5. Step 5: Solve for x
    x = 15,624,427,910.09/183,200.68
  6. Step 6: Final answer
    x = 85,285.86

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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.