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Finding the Fourth Proportional to 200,374.68, 300,714.30 and 74,134.29

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Solution

The fourth proportional to 200,374.68, 300,714.30 and 74,134.29 is: 111,257.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,374.68 : 300,714.30 = 74,134.29 : x
  2. Step 2: Convert to fraction form
    200,374.68/300,714.30 = 74,134.29/x
  3. Step 3: Cross multiply
    200,374.68x = 300,714.30 × 74,134.29
  4. Step 4: Simplify right side
    200,374.68x = 22,293,241,123.35
  5. Step 5: Solve for x
    x = 22,293,241,123.35/200,374.68
  6. Step 6: Final answer
    x = 111,257.78

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.