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Finding the Fourth Proportional to 117,431.72, 175,914.24 and 64,710.44

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Solution

The fourth proportional to 117,431.72, 175,914.24 and 64,710.44 is: 96,937.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,431.72 : 175,914.24 = 64,710.44 : x
  2. Step 2: Convert to fraction form
    117,431.72/175,914.24 = 64,710.44/x
  3. Step 3: Cross multiply
    117,431.72x = 175,914.24 × 64,710.44
  4. Step 4: Simplify right side
    117,431.72x = 11,383,487,872.67
  5. Step 5: Solve for x
    x = 11,383,487,872.67/117,431.72
  6. Step 6: Final answer
    x = 96,937.08

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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.