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Finding the Fourth Proportional to 137,149.30, 189,273.81 and 76,722.49

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Solution

The fourth proportional to 137,149.30, 189,273.81 and 76,722.49 is: 105,881.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,149.30 : 189,273.81 = 76,722.49 : x
  2. Step 2: Convert to fraction form
    137,149.30/189,273.81 = 76,722.49/x
  3. Step 3: Cross multiply
    137,149.30x = 189,273.81 × 76,722.49
  4. Step 4: Simplify right side
    137,149.30x = 14,521,558,519.29
  5. Step 5: Solve for x
    x = 14,521,558,519.29/137,149.30
  6. Step 6: Final answer
    x = 105,881.39

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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.