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Finding the Fourth Proportional to 172,408.32, 237,922.56 and 96,955.20

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Solution

The fourth proportional to 172,408.32, 237,922.56 and 96,955.20 is: 133,797.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    172,408.32 : 237,922.56 = 96,955.20 : x
  2. Step 2: Convert to fraction form
    172,408.32/237,922.56 = 96,955.20/x
  3. Step 3: Cross multiply
    172,408.32x = 237,922.56 × 96,955.20
  4. Step 4: Simplify right side
    172,408.32x = 23,067,829,389.31
  5. Step 5: Solve for x
    x = 23,067,829,389.31/172,408.32
  6. Step 6: Final answer
    x = 133,797.66

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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.