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Finding the Fourth Proportional to 137,230.20, 205,845.30 and 54,113.40

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Solution

The fourth proportional to 137,230.20, 205,845.30 and 54,113.40 is: 81,170.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,230.20 : 205,845.30 = 54,113.40 : x
  2. Step 2: Convert to fraction form
    137,230.20/205,845.30 = 54,113.40/x
  3. Step 3: Cross multiply
    137,230.20x = 205,845.30 × 54,113.40
  4. Step 4: Simplify right side
    137,230.20x = 11,138,989,057.02
  5. Step 5: Solve for x
    x = 11,138,989,057.02/137,230.20
  6. Step 6: Final answer
    x = 81,170.10

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.