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Finding the Fourth Proportional to 194,797.48, 292,204.54 and 76,494.46

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Solution

The fourth proportional to 194,797.48, 292,204.54 and 76,494.46 is: 114,744.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,797.48 : 292,204.54 = 76,494.46 : x
  2. Step 2: Convert to fraction form
    194,797.48/292,204.54 = 76,494.46/x
  3. Step 3: Cross multiply
    194,797.48x = 292,204.54 × 76,494.46
  4. Step 4: Simplify right side
    194,797.48x = 22,352,028,496.85
  5. Step 5: Solve for x
    x = 22,352,028,496.85/194,797.48
  6. Step 6: Final answer
    x = 114,744.96

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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.