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Finding the Fourth Proportional to 137,253.75, 189,410.13 and 76,824.38

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Solution

The fourth proportional to 137,253.75, 189,410.13 and 76,824.38 is: 106,017.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,253.75 : 189,410.13 = 76,824.38 : x
  2. Step 2: Convert to fraction form
    137,253.75/189,410.13 = 76,824.38/x
  3. Step 3: Cross multiply
    137,253.75x = 189,410.13 × 76,824.38
  4. Step 4: Simplify right side
    137,253.75x = 14,551,314,855.92
  5. Step 5: Solve for x
    x = 14,551,314,855.92/137,253.75
  6. Step 6: Final answer
    x = 106,017.61

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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.