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Finding the Fourth Proportional to 194,473, 268,372.98 and 105,049

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Solution

The fourth proportional to 194,473, 268,372.98 and 105,049 is: 144,967.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,473 : 268,372.98 = 105,049 : x
  2. Step 2: Convert to fraction form
    194,473/268,372.98 = 105,049/x
  3. Step 3: Cross multiply
    194,473x = 268,372.98 × 105,049
  4. Step 4: Simplify right side
    194,473x = 28,192,313,176.02
  5. Step 5: Solve for x
    x = 28,192,313,176.02/194,473
  6. Step 6: Final answer
    x = 144,967.75

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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.