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Finding the Fourth Proportional to 114,052.36, 171,067.54 and 35,145.40

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Solution

The fourth proportional to 114,052.36, 171,067.54 and 35,145.40 is: 52,714.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,052.36 : 171,067.54 = 35,145.40 : x
  2. Step 2: Convert to fraction form
    114,052.36/171,067.54 = 35,145.40/x
  3. Step 3: Cross multiply
    114,052.36x = 171,067.54 × 35,145.40
  4. Step 4: Simplify right side
    114,052.36x = 6,012,237,120.32
  5. Step 5: Solve for x
    x = 6,012,237,120.32/114,052.36
  6. Step 6: Final answer
    x = 52,714.71

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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.