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Finding the Fourth Proportional to 136,589.52, 188,494.32 and 76,164

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Solution

The fourth proportional to 136,589.52, 188,494.32 and 76,164 is: 105,106.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    136,589.52 : 188,494.32 = 76,164 : x
  2. Step 2: Convert to fraction form
    136,589.52/188,494.32 = 76,164/x
  3. Step 3: Cross multiply
    136,589.52x = 188,494.32 × 76,164
  4. Step 4: Simplify right side
    136,589.52x = 14,356,481,388.48
  5. Step 5: Solve for x
    x = 14,356,481,388.48/136,589.52
  6. Step 6: Final answer
    x = 105,106.76

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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.