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Finding the Fourth Proportional to 178,999.28, 268,510.76 and 52,650.82

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Solution

The fourth proportional to 178,999.28, 268,510.76 and 52,650.82 is: 78,979.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,999.28 : 268,510.76 = 52,650.82 : x
  2. Step 2: Convert to fraction form
    178,999.28/268,510.76 = 52,650.82/x
  3. Step 3: Cross multiply
    178,999.28x = 268,510.76 × 52,650.82
  4. Step 4: Simplify right side
    178,999.28x = 14,137,311,153.17
  5. Step 5: Solve for x
    x = 14,137,311,153.17/178,999.28
  6. Step 6: Final answer
    x = 78,979.71

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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.