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Finding the Fourth Proportional to 217,014.30, 299,374.11 and 140,511.42

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Solution

The fourth proportional to 217,014.30, 299,374.11 and 140,511.42 is: 193,837.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    217,014.30 : 299,374.11 = 140,511.42 : x
  2. Step 2: Convert to fraction form
    217,014.30/299,374.11 = 140,511.42/x
  3. Step 3: Cross multiply
    217,014.30x = 299,374.11 × 140,511.42
  4. Step 4: Simplify right side
    217,014.30x = 42,065,481,307.34
  5. Step 5: Solve for x
    x = 42,065,481,307.34/217,014.30
  6. Step 6: Final answer
    x = 193,837.37

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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.