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Finding the Fourth Proportional to 137,244.59, 189,401.82 and 76,815.12

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Solution

The fourth proportional to 137,244.59, 189,401.82 and 76,815.12 is: 106,007.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,244.59 : 189,401.82 = 76,815.12 : x
  2. Step 2: Convert to fraction form
    137,244.59/189,401.82 = 76,815.12/x
  3. Step 3: Cross multiply
    137,244.59x = 189,401.82 × 76,815.12
  4. Step 4: Simplify right side
    137,244.59x = 14,548,923,104.38
  5. Step 5: Solve for x
    x = 14,548,923,104.38/137,244.59
  6. Step 6: Final answer
    x = 106,007.26

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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.