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Finding the Fourth Proportional to 362,544.80, 543,817.40 and 137,853.36

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Solution

The fourth proportional to 362,544.80, 543,817.40 and 137,853.36 is: 206,780.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    362,544.80 : 543,817.40 = 137,853.36 : x
  2. Step 2: Convert to fraction form
    362,544.80/543,817.40 = 137,853.36/x
  3. Step 3: Cross multiply
    362,544.80x = 543,817.40 × 137,853.36
  4. Step 4: Simplify right side
    362,544.80x = 74,967,055,127.20
  5. Step 5: Solve for x
    x = 74,967,055,127.20/362,544.80
  6. Step 6: Final answer
    x = 206,780.12

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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.