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Finding the Fourth Proportional to 178,846.20, 268,019.79 and 134,420.94

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Solution

The fourth proportional to 178,846.20, 268,019.79 and 134,420.94 is: 201,443.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,846.20 : 268,019.79 = 134,420.94 : x
  2. Step 2: Convert to fraction form
    178,846.20/268,019.79 = 134,420.94/x
  3. Step 3: Cross multiply
    178,846.20x = 268,019.79 × 134,420.94
  4. Step 4: Simplify right side
    178,846.20x = 36,027,472,110.40
  5. Step 5: Solve for x
    x = 36,027,472,110.40/178,846.20
  6. Step 6: Final answer
    x = 201,443.88

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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.