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Finding the Fourth Proportional to 362,617.30, 543,843.96 and 137,897.65

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Solution

The fourth proportional to 362,617.30, 543,843.96 and 137,897.65 is: 206,815.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    362,617.30 : 543,843.96 = 137,897.65 : x
  2. Step 2: Convert to fraction form
    362,617.30/543,843.96 = 137,897.65/x
  3. Step 3: Cross multiply
    362,617.30x = 543,843.96 × 137,897.65
  4. Step 4: Simplify right side
    362,617.30x = 74,994,804,050.69
  5. Step 5: Solve for x
    x = 74,994,804,050.69/362,617.30
  6. Step 6: Final answer
    x = 206,815.30

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.