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Finding the Fourth Proportional to 235,288, 352,733.55 and 102,067.93

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Solution

The fourth proportional to 235,288, 352,733.55 and 102,067.93 is: 153,015.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    235,288 : 352,733.55 = 102,067.93 : x
  2. Step 2: Convert to fraction form
    235,288/352,733.55 = 102,067.93/x
  3. Step 3: Cross multiply
    235,288x = 352,733.55 × 102,067.93
  4. Step 4: Simplify right side
    235,288x = 36,002,783,290.05
  5. Step 5: Solve for x
    x = 36,002,783,290.05/235,288
  6. Step 6: Final answer
    x = 153,015.81

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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.