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Finding the Fourth Proportional to 203,195.34, 280,412.52 and 117,152.82

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Solution

The fourth proportional to 203,195.34, 280,412.52 and 117,152.82 is: 161,672.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,195.34 : 280,412.52 = 117,152.82 : x
  2. Step 2: Convert to fraction form
    203,195.34/280,412.52 = 117,152.82/x
  3. Step 3: Cross multiply
    203,195.34x = 280,412.52 × 117,152.82
  4. Step 4: Simplify right side
    203,195.34x = 32,851,117,481.31
  5. Step 5: Solve for x
    x = 32,851,117,481.31/203,195.34
  6. Step 6: Final answer
    x = 161,672.59

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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.