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Finding the Fourth Proportional to 137,112.92, 189,225.41 and 76,689.14

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Solution

The fourth proportional to 137,112.92, 189,225.41 and 76,689.14 is: 105,836.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,112.92 : 189,225.41 = 76,689.14 : x
  2. Step 2: Convert to fraction form
    137,112.92/189,225.41 = 76,689.14/x
  3. Step 3: Cross multiply
    137,112.92x = 189,225.41 × 76,689.14
  4. Step 4: Simplify right side
    137,112.92x = 14,511,534,240.39
  5. Step 5: Solve for x
    x = 14,511,534,240.39/137,112.92
  6. Step 6: Final answer
    x = 105,836.38

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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.