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Finding the Fourth Proportional to 383,252.16, 574,832.88 and 102,789.12

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Solution

The fourth proportional to 383,252.16, 574,832.88 and 102,789.12 is: 154,171.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    383,252.16 : 574,832.88 = 102,789.12 : x
  2. Step 2: Convert to fraction form
    383,252.16/574,832.88 = 102,789.12/x
  3. Step 3: Cross multiply
    383,252.16x = 574,832.88 × 102,789.12
  4. Step 4: Simplify right side
    383,252.16x = 59,086,565,882.27
  5. Step 5: Solve for x
    x = 59,086,565,882.27/383,252.16
  6. Step 6: Final answer
    x = 154,171.51

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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.