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Finding the Fourth Proportional to 178,401.84, 267,617.36 and 89,609.68

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Solution

The fourth proportional to 178,401.84, 267,617.36 and 89,609.68 is: 134,421.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,401.84 : 267,617.36 = 89,609.68 : x
  2. Step 2: Convert to fraction form
    178,401.84/267,617.36 = 89,609.68/x
  3. Step 3: Cross multiply
    178,401.84x = 267,617.36 × 89,609.68
  4. Step 4: Simplify right side
    178,401.84x = 23,981,105,992.04
  5. Step 5: Solve for x
    x = 23,981,105,992.04/178,401.84
  6. Step 6: Final answer
    x = 134,421.85

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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.