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Finding the Fourth Proportional to 362,202.80, 542,915.40 and 137,476.40

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Solution

The fourth proportional to 362,202.80, 542,915.40 and 137,476.40 is: 206,067.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    362,202.80 : 542,915.40 = 137,476.40 : x
  2. Step 2: Convert to fraction form
    362,202.80/542,915.40 = 137,476.40/x
  3. Step 3: Cross multiply
    362,202.80x = 542,915.40 × 137,476.40
  4. Step 4: Simplify right side
    362,202.80x = 74,638,054,696.56
  5. Step 5: Solve for x
    x = 74,638,054,696.56/362,202.80
  6. Step 6: Final answer
    x = 206,067.03

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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.