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Finding the Fourth Proportional to 137,250.94, 189,406.23 and 76,821.57

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Solution

The fourth proportional to 137,250.94, 189,406.23 and 76,821.57 is: 106,013.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,250.94 : 189,406.23 = 76,821.57 : x
  2. Step 2: Convert to fraction form
    137,250.94/189,406.23 = 76,821.57/x
  3. Step 3: Cross multiply
    137,250.94x = 189,406.23 × 76,821.57
  4. Step 4: Simplify right side
    137,250.94x = 14,550,483,956.38
  5. Step 5: Solve for x
    x = 14,550,483,956.38/137,250.94
  6. Step 6: Final answer
    x = 106,013.73

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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.