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Finding the Fourth Proportional to 137,380.38, 189,601.74 and 83,673.20

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Solution

The fourth proportional to 137,380.38, 189,601.74 and 83,673.20 is: 115,479.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,380.38 : 189,601.74 = 83,673.20 : x
  2. Step 2: Convert to fraction form
    137,380.38/189,601.74 = 83,673.20/x
  3. Step 3: Cross multiply
    137,380.38x = 189,601.74 × 83,673.20
  4. Step 4: Simplify right side
    137,380.38x = 15,864,583,363.36
  5. Step 5: Solve for x
    x = 15,864,583,363.36/137,380.38
  6. Step 6: Final answer
    x = 115,479.25

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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.