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Finding the Fourth Proportional to 194,447.92, 268,338.14 and 105,023.92

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Solution

The fourth proportional to 194,447.92, 268,338.14 and 105,023.92 is: 144,933.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,447.92 : 268,338.14 = 105,023.92 : x
  2. Step 2: Convert to fraction form
    194,447.92/268,338.14 = 105,023.92/x
  3. Step 3: Cross multiply
    194,447.92x = 268,338.14 × 105,023.92
  4. Step 4: Simplify right side
    194,447.92x = 28,181,923,348.31
  5. Step 5: Solve for x
    x = 28,181,923,348.31/194,447.92
  6. Step 6: Final answer
    x = 144,933.02

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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.