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Finding the Fourth Proportional to 262,454.33, 362,198.45 and 147,740.38

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Solution

The fourth proportional to 262,454.33, 362,198.45 and 147,740.38 is: 203,888.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    262,454.33 : 362,198.45 = 147,740.38 : x
  2. Step 2: Convert to fraction form
    262,454.33/362,198.45 = 147,740.38/x
  3. Step 3: Cross multiply
    262,454.33x = 362,198.45 × 147,740.38
  4. Step 4: Simplify right side
    262,454.33x = 53,511,336,638.41
  5. Step 5: Solve for x
    x = 53,511,336,638.41/262,454.33
  6. Step 6: Final answer
    x = 203,888.18

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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.