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Finding the Fourth Proportional to 194,870.81, 268,922.53 and 105,446.81

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Solution

The fourth proportional to 194,870.81, 268,922.53 and 105,446.81 is: 145,517.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,870.81 : 268,922.53 = 105,446.81 : x
  2. Step 2: Convert to fraction form
    194,870.81/268,922.53 = 105,446.81/x
  3. Step 3: Cross multiply
    194,870.81x = 268,922.53 × 105,446.81
  4. Step 4: Simplify right side
    194,870.81x = 28,357,023,729.74
  5. Step 5: Solve for x
    x = 28,357,023,729.74/194,870.81
  6. Step 6: Final answer
    x = 145,517.04

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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.