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Finding the Fourth Proportional to 362,534.94, 543,802.64 and 137,843.42

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Solution

The fourth proportional to 362,534.94, 543,802.64 and 137,843.42 is: 206,765.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    362,534.94 : 543,802.64 = 137,843.42 : x
  2. Step 2: Convert to fraction form
    362,534.94/543,802.64 = 137,843.42/x
  3. Step 3: Cross multiply
    362,534.94x = 543,802.64 × 137,843.42
  4. Step 4: Simplify right side
    362,534.94x = 74,959,612,294.40
  5. Step 5: Solve for x
    x = 74,959,612,294.40/362,534.94
  6. Step 6: Final answer
    x = 206,765.21

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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.