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Finding the Fourth Proportional to 135,470.84, 186,951.26 and 75,042.41

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Solution

The fourth proportional to 135,470.84, 186,951.26 and 75,042.41 is: 103,559.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,470.84 : 186,951.26 = 75,042.41 : x
  2. Step 2: Convert to fraction form
    135,470.84/186,951.26 = 75,042.41/x
  3. Step 3: Cross multiply
    135,470.84x = 186,951.26 × 75,042.41
  4. Step 4: Simplify right side
    135,470.84x = 14,029,273,102.94
  5. Step 5: Solve for x
    x = 14,029,273,102.94/135,470.84
  6. Step 6: Final answer
    x = 103,559.36

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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.