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Finding the Fourth Proportional to 216,045.80, 324,414.30 and 146,234.60

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Solution

The fourth proportional to 216,045.80, 324,414.30 and 146,234.60 is: 219,585.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    216,045.80 : 324,414.30 = 146,234.60 : x
  2. Step 2: Convert to fraction form
    216,045.80/324,414.30 = 146,234.60/x
  3. Step 3: Cross multiply
    216,045.80x = 324,414.30 × 146,234.60
  4. Step 4: Simplify right side
    216,045.80x = 47,440,595,394.78
  5. Step 5: Solve for x
    x = 47,440,595,394.78/216,045.80
  6. Step 6: Final answer
    x = 219,585.83

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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.