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Finding the Fourth Proportional to 194,797.80, 292,084.02 and 76,330.44

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Solution

The fourth proportional to 194,797.80, 292,084.02 and 76,330.44 is: 114,451.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,797.80 : 292,084.02 = 76,330.44 : x
  2. Step 2: Convert to fraction form
    194,797.80/292,084.02 = 76,330.44/x
  3. Step 3: Cross multiply
    194,797.80x = 292,084.02 × 76,330.44
  4. Step 4: Simplify right side
    194,797.80x = 22,294,901,763.57
  5. Step 5: Solve for x
    x = 22,294,901,763.57/194,797.80
  6. Step 6: Final answer
    x = 114,451.51

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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.