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Finding the Fourth Proportional to 117,106.80, 175,758.84 and 50,597.34

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Solution

The fourth proportional to 117,106.80, 175,758.84 and 50,597.34 is: 75,938.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,106.80 : 175,758.84 = 50,597.34 : x
  2. Step 2: Convert to fraction form
    117,106.80/175,758.84 = 50,597.34/x
  3. Step 3: Cross multiply
    117,106.80x = 175,758.84 × 50,597.34
  4. Step 4: Simplify right side
    117,106.80x = 8,892,929,785.49
  5. Step 5: Solve for x
    x = 8,892,929,785.49/117,106.80
  6. Step 6: Final answer
    x = 75,938.63

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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.