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Finding the Fourth Proportional to 403,542.20, 605,138.18 and 137,231.20

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Solution

The fourth proportional to 403,542.20, 605,138.18 and 137,231.20 is: 205,787.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    403,542.20 : 605,138.18 = 137,231.20 : x
  2. Step 2: Convert to fraction form
    403,542.20/605,138.18 = 137,231.20/x
  3. Step 3: Cross multiply
    403,542.20x = 605,138.18 × 137,231.20
  4. Step 4: Simplify right side
    403,542.20x = 83,043,838,607.22
  5. Step 5: Solve for x
    x = 83,043,838,607.22/403,542.20
  6. Step 6: Final answer
    x = 205,787.25

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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.