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Finding the Fourth Proportional to 194,871.19, 268,923.05 and 105,447.19

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Solution

The fourth proportional to 194,871.19, 268,923.05 and 105,447.19 is: 145,517.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,871.19 : 268,923.05 = 105,447.19 : x
  2. Step 2: Convert to fraction form
    194,871.19/268,923.05 = 105,447.19/x
  3. Step 3: Cross multiply
    194,871.19x = 268,923.05 × 105,447.19
  4. Step 4: Simplify right side
    194,871.19x = 28,357,179,144.61
  5. Step 5: Solve for x
    x = 28,357,179,144.61/194,871.19
  6. Step 6: Final answer
    x = 145,517.56

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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.