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Finding the Fourth Proportional to 137,149.79, 189,282.38 and 76,735.73

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Solution

The fourth proportional to 137,149.79, 189,282.38 and 76,735.73 is: 105,904.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,149.79 : 189,282.38 = 76,735.73 : x
  2. Step 2: Convert to fraction form
    137,149.79/189,282.38 = 76,735.73/x
  3. Step 3: Cross multiply
    137,149.79x = 189,282.38 × 76,735.73
  4. Step 4: Simplify right side
    137,149.79x = 14,524,720,275.35
  5. Step 5: Solve for x
    x = 14,524,720,275.35/137,149.79
  6. Step 6: Final answer
    x = 105,904.07

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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.