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Finding the Fourth Proportional to 262,608, 362,412.16 and 149,441.28

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Solution

The fourth proportional to 262,608, 362,412.16 and 149,441.28 is: 206,236.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    262,608 : 362,412.16 = 149,441.28 : x
  2. Step 2: Convert to fraction form
    262,608/362,412.16 = 149,441.28/x
  3. Step 3: Cross multiply
    262,608x = 362,412.16 × 149,441.28
  4. Step 4: Simplify right side
    262,608x = 54,159,337,077.96
  5. Step 5: Solve for x
    x = 54,159,337,077.96/262,608
  6. Step 6: Final answer
    x = 206,236.43

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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.