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Finding the Fourth Proportional to 194,815.68, 268,843.02 and 108,776

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Solution

The fourth proportional to 194,815.68, 268,843.02 and 108,776 is: 150,109.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,815.68 : 268,843.02 = 108,776 : x
  2. Step 2: Convert to fraction form
    194,815.68/268,843.02 = 108,776/x
  3. Step 3: Cross multiply
    194,815.68x = 268,843.02 × 108,776
  4. Step 4: Simplify right side
    194,815.68x = 29,243,668,343.52
  5. Step 5: Solve for x
    x = 29,243,668,343.52/194,815.68
  6. Step 6: Final answer
    x = 150,109.42

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.