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Finding the Fourth Proportional to 262,635.82, 362,438.90 and 149,458.57

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Solution

The fourth proportional to 262,635.82, 362,438.90 and 149,458.57 is: 206,253.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    262,635.82 : 362,438.90 = 149,458.57 : x
  2. Step 2: Convert to fraction form
    262,635.82/362,438.90 = 149,458.57/x
  3. Step 3: Cross multiply
    262,635.82x = 362,438.90 × 149,458.57
  4. Step 4: Simplify right side
    262,635.82x = 54,169,599,454.16
  5. Step 5: Solve for x
    x = 54,169,599,454.16/262,635.82
  6. Step 6: Final answer
    x = 206,253.66

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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.