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Finding the Fourth Proportional to 362,154.80, 542,843.40 and 137,428.40

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Solution

The fourth proportional to 362,154.80, 542,843.40 and 137,428.40 is: 205,995.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    362,154.80 : 542,843.40 = 137,428.40 : x
  2. Step 2: Convert to fraction form
    362,154.80/542,843.40 = 137,428.40/x
  3. Step 3: Cross multiply
    362,154.80x = 542,843.40 × 137,428.40
  4. Step 4: Simplify right side
    362,154.80x = 74,602,099,912.56
  5. Step 5: Solve for x
    x = 74,602,099,912.56/362,154.80
  6. Step 6: Final answer
    x = 205,995.06

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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.