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Finding the Fourth Proportional to 383,257.56, 574,842.60 and 102,753

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Solution

The fourth proportional to 383,257.56, 574,842.60 and 102,753 is: 154,117.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    383,257.56 : 574,842.60 = 102,753 : x
  2. Step 2: Convert to fraction form
    383,257.56/574,842.60 = 102,753/x
  3. Step 3: Cross multiply
    383,257.56x = 574,842.60 × 102,753
  4. Step 4: Simplify right side
    383,257.56x = 59,066,801,677.80
  5. Step 5: Solve for x
    x = 59,066,801,677.80/383,257.56
  6. Step 6: Final answer
    x = 154,117.77

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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.