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Finding the Fourth Proportional to 262,909.13, 362,814.59 and 149,742.41

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Solution

The fourth proportional to 262,909.13, 362,814.59 and 149,742.41 is: 206,644.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    262,909.13 : 362,814.59 = 149,742.41 : x
  2. Step 2: Convert to fraction form
    262,909.13/362,814.59 = 149,742.41/x
  3. Step 3: Cross multiply
    262,909.13x = 362,814.59 × 149,742.41
  4. Step 4: Simplify right side
    262,909.13x = 54,328,729,650.05
  5. Step 5: Solve for x
    x = 54,328,729,650.05/262,909.13
  6. Step 6: Final answer
    x = 206,644.52

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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.