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Finding the Fourth Proportional to 235,381.88, 352,873.78 and 102,162

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Solution

The fourth proportional to 235,381.88, 352,873.78 and 102,162 is: 153,156.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    235,381.88 : 352,873.78 = 102,162 : x
  2. Step 2: Convert to fraction form
    235,381.88/352,873.78 = 102,162/x
  3. Step 3: Cross multiply
    235,381.88x = 352,873.78 × 102,162
  4. Step 4: Simplify right side
    235,381.88x = 36,050,291,112.36
  5. Step 5: Solve for x
    x = 36,050,291,112.36/235,381.88
  6. Step 6: Final answer
    x = 153,156.61

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.