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Finding the Fourth Proportional to 178,940.67, 268,366.72 and 106,913.24

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Solution

The fourth proportional to 178,940.67, 268,366.72 and 106,913.24 is: 160,343.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,940.67 : 268,366.72 = 106,913.24 : x
  2. Step 2: Convert to fraction form
    178,940.67/268,366.72 = 106,913.24/x
  3. Step 3: Cross multiply
    178,940.67x = 268,366.72 × 106,913.24
  4. Step 4: Simplify right side
    178,940.67x = 28,691,955,543.37
  5. Step 5: Solve for x
    x = 28,691,955,543.37/178,940.67
  6. Step 6: Final answer
    x = 160,343.40

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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.