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Finding the Fourth Proportional to 262,170.96, 361,826.70 and 149,010.72

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Solution

The fourth proportional to 262,170.96, 361,826.70 and 149,010.72 is: 205,652.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    262,170.96 : 361,826.70 = 149,010.72 : x
  2. Step 2: Convert to fraction form
    262,170.96/361,826.70 = 149,010.72/x
  3. Step 3: Cross multiply
    262,170.96x = 361,826.70 × 149,010.72
  4. Step 4: Simplify right side
    262,170.96x = 53,916,057,082.22
  5. Step 5: Solve for x
    x = 53,916,057,082.22/262,170.96
  6. Step 6: Final answer
    x = 205,652.29

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.