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Finding the Fourth Proportional to 194,233, 268,048.84 and 107,021.68

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Solution

The fourth proportional to 194,233, 268,048.84 and 107,021.68 is: 147,693.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,233 : 268,048.84 = 107,021.68 : x
  2. Step 2: Convert to fraction form
    194,233/268,048.84 = 107,021.68/x
  3. Step 3: Cross multiply
    194,233x = 268,048.84 × 107,021.68
  4. Step 4: Simplify right side
    194,233x = 28,687,037,178.85
  5. Step 5: Solve for x
    x = 28,687,037,178.85/194,233
  6. Step 6: Final answer
    x = 147,693.94

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.