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Finding the Fourth Proportional to 194,895.80, 268,956.21 and 105,471.80

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Solution

The fourth proportional to 194,895.80, 268,956.21 and 105,471.80 is: 145,551.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,895.80 : 268,956.21 = 105,471.80 : x
  2. Step 2: Convert to fraction form
    194,895.80/268,956.21 = 105,471.80/x
  3. Step 3: Cross multiply
    194,895.80x = 268,956.21 × 105,471.80
  4. Step 4: Simplify right side
    194,895.80x = 28,367,295,062.52
  5. Step 5: Solve for x
    x = 28,367,295,062.52/194,895.80
  6. Step 6: Final answer
    x = 145,551.08

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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.