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Finding the Fourth Proportional to 178,766.76, 268,146.90 and 150,866.04

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Solution

The fourth proportional to 178,766.76, 268,146.90 and 150,866.04 is: 226,296.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,766.76 : 268,146.90 = 150,866.04 : x
  2. Step 2: Convert to fraction form
    178,766.76/268,146.90 = 150,866.04/x
  3. Step 3: Cross multiply
    178,766.76x = 268,146.90 × 150,866.04
  4. Step 4: Simplify right side
    178,766.76x = 40,454,260,941.28
  5. Step 5: Solve for x
    x = 40,454,260,941.28/178,766.76
  6. Step 6: Final answer
    x = 226,296.33

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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.