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Finding the Fourth Proportional to 194,616, 268,570.08 and 105,192

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Solution

The fourth proportional to 194,616, 268,570.08 and 105,192 is: 145,164.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,616 : 268,570.08 = 105,192 : x
  2. Step 2: Convert to fraction form
    194,616/268,570.08 = 105,192/x
  3. Step 3: Cross multiply
    194,616x = 268,570.08 × 105,192
  4. Step 4: Simplify right side
    194,616x = 28,251,423,855.36
  5. Step 5: Solve for x
    x = 28,251,423,855.36/194,616
  6. Step 6: Final answer
    x = 145,164.96

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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.