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Finding the Fourth Proportional to 137,043.10, 189,120.88 and 76,617.10

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Solution

The fourth proportional to 137,043.10, 189,120.88 and 76,617.10 is: 105,732.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,043.10 : 189,120.88 = 76,617.10 : x
  2. Step 2: Convert to fraction form
    137,043.10/189,120.88 = 76,617.10/x
  3. Step 3: Cross multiply
    137,043.10x = 189,120.88 × 76,617.10
  4. Step 4: Simplify right side
    137,043.10x = 14,489,893,375.05
  5. Step 5: Solve for x
    x = 14,489,893,375.05/137,043.10
  6. Step 6: Final answer
    x = 105,732.38

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.