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Finding the Fourth Proportional to 203,966.56, 281,493.84 and 117,929.20

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Solution

The fourth proportional to 203,966.56, 281,493.84 and 117,929.20 is: 162,753.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,966.56 : 281,493.84 = 117,929.20 : x
  2. Step 2: Convert to fraction form
    203,966.56/281,493.84 = 117,929.20/x
  3. Step 3: Cross multiply
    203,966.56x = 281,493.84 × 117,929.20
  4. Step 4: Simplify right side
    203,966.56x = 33,196,343,356.13
  5. Step 5: Solve for x
    x = 33,196,343,356.13/203,966.56
  6. Step 6: Final answer
    x = 162,753.85

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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.