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Finding the Fourth Proportional to 117,288, 175,964.40 and 34,182

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Solution

The fourth proportional to 117,288, 175,964.40 and 34,182 is: 51,282.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,288 : 175,964.40 = 34,182 : x
  2. Step 2: Convert to fraction form
    117,288/175,964.40 = 34,182/x
  3. Step 3: Cross multiply
    117,288x = 175,964.40 × 34,182
  4. Step 4: Simplify right side
    117,288x = 6,014,815,120.80
  5. Step 5: Solve for x
    x = 6,014,815,120.80/117,288
  6. Step 6: Final answer
    x = 51,282.44

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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.