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Finding the Fourth Proportional to 137,149.28, 189,281.69 and 76,735.23

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Solution

The fourth proportional to 137,149.28, 189,281.69 and 76,735.23 is: 105,903.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,149.28 : 189,281.69 = 76,735.23 : x
  2. Step 2: Convert to fraction form
    137,149.28/189,281.69 = 76,735.23/x
  3. Step 3: Cross multiply
    137,149.28x = 189,281.69 × 76,735.23
  4. Step 4: Simplify right side
    137,149.28x = 14,524,574,016.94
  5. Step 5: Solve for x
    x = 14,524,574,016.94/137,149.28
  6. Step 6: Final answer
    x = 105,903.39

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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.