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Finding the Fourth Proportional to 362,282.55, 543,259.80 and 137,568.30

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Solution

The fourth proportional to 362,282.55, 543,259.80 and 137,568.30 is: 206,290.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    362,282.55 : 543,259.80 = 137,568.30 : x
  2. Step 2: Convert to fraction form
    362,282.55/543,259.80 = 137,568.30/x
  3. Step 3: Cross multiply
    362,282.55x = 543,259.80 × 137,568.30
  4. Step 4: Simplify right side
    362,282.55x = 74,735,327,144.34
  5. Step 5: Solve for x
    x = 74,735,327,144.34/362,282.55
  6. Step 6: Final answer
    x = 206,290.17

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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.