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Finding the Fourth Proportional to 194,234, 268,050.22 and 107,022.68

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Solution

The fourth proportional to 194,234, 268,050.22 and 107,022.68 is: 147,695.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,234 : 268,050.22 = 107,022.68 : x
  2. Step 2: Convert to fraction form
    194,234/268,050.22 = 107,022.68/x
  3. Step 3: Cross multiply
    194,234x = 268,050.22 × 107,022.68
  4. Step 4: Simplify right side
    194,234x = 28,687,452,918.99
  5. Step 5: Solve for x
    x = 28,687,452,918.99/194,234
  6. Step 6: Final answer
    x = 147,695.32

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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.