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Finding the Fourth Proportional to 137,226.20, 205,839.30 and 54,109.40

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Solution

The fourth proportional to 137,226.20, 205,839.30 and 54,109.40 is: 81,164.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,226.20 : 205,839.30 = 54,109.40 : x
  2. Step 2: Convert to fraction form
    137,226.20/205,839.30 = 54,109.40/x
  3. Step 3: Cross multiply
    137,226.20x = 205,839.30 × 54,109.40
  4. Step 4: Simplify right side
    137,226.20x = 11,137,841,019.42
  5. Step 5: Solve for x
    x = 11,137,841,019.42/137,226.20
  6. Step 6: Final answer
    x = 81,164.10

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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.