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Finding the Fourth Proportional to 362,164.80, 542,858.40 and 137,438.40

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Solution

The fourth proportional to 362,164.80, 542,858.40 and 137,438.40 is: 206,010.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    362,164.80 : 542,858.40 = 137,438.40 : x
  2. Step 2: Convert to fraction form
    362,164.80/542,858.40 = 137,438.40/x
  3. Step 3: Cross multiply
    362,164.80x = 542,858.40 × 137,438.40
  4. Step 4: Simplify right side
    362,164.80x = 74,609,589,922.56
  5. Step 5: Solve for x
    x = 74,609,589,922.56/362,164.80
  6. Step 6: Final answer
    x = 206,010.05

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1.5x scale

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.