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Finding the Fourth Proportional to 262,493.22, 362,237.49 and 149,315.70

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Solution

The fourth proportional to 262,493.22, 362,237.49 and 149,315.70 is: 206,053.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    262,493.22 : 362,237.49 = 149,315.70 : x
  2. Step 2: Convert to fraction form
    262,493.22/362,237.49 = 149,315.70/x
  3. Step 3: Cross multiply
    262,493.22x = 362,237.49 × 149,315.70
  4. Step 4: Simplify right side
    262,493.22x = 54,087,744,385.59
  5. Step 5: Solve for x
    x = 54,087,744,385.59/262,493.22
  6. Step 6: Final answer
    x = 206,053.87

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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.