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Finding the Fourth Proportional to 146,470.38, 202,119.54 and 81,928.43

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Solution

The fourth proportional to 146,470.38, 202,119.54 and 81,928.43 is: 113,055.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    146,470.38 : 202,119.54 = 81,928.43 : x
  2. Step 2: Convert to fraction form
    146,470.38/202,119.54 = 81,928.43/x
  3. Step 3: Cross multiply
    146,470.38x = 202,119.54 × 81,928.43
  4. Step 4: Simplify right side
    146,470.38x = 16,559,335,573.92
  5. Step 5: Solve for x
    x = 16,559,335,573.92/146,470.38
  6. Step 6: Final answer
    x = 113,055.87

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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.