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Finding the Fourth Proportional to 328,765.57, 493,153.21 and 92,093.29

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Solution

The fourth proportional to 328,765.57, 493,153.21 and 92,093.29 is: 138,141.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    328,765.57 : 493,153.21 = 92,093.29 : x
  2. Step 2: Convert to fraction form
    328,765.57/493,153.21 = 92,093.29/x
  3. Step 3: Cross multiply
    328,765.57x = 493,153.21 × 92,093.29
  4. Step 4: Simplify right side
    328,765.57x = 45,416,101,582.96
  5. Step 5: Solve for x
    x = 45,416,101,582.96/328,765.57
  6. Step 6: Final answer
    x = 138,141.29

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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.