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Finding the Fourth Proportional to 178,765.76, 268,145.40 and 150,865.04

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Solution

The fourth proportional to 178,765.76, 268,145.40 and 150,865.04 is: 226,294.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,765.76 : 268,145.40 = 150,865.04 : x
  2. Step 2: Convert to fraction form
    178,765.76/268,145.40 = 150,865.04/x
  3. Step 3: Cross multiply
    178,765.76x = 268,145.40 × 150,865.04
  4. Step 4: Simplify right side
    178,765.76x = 40,453,766,496.82
  5. Step 5: Solve for x
    x = 40,453,766,496.82/178,765.76
  6. Step 6: Final answer
    x = 226,294.83

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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.