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Finding the Fourth Proportional to 203,769, 281,201.76 and 114,345

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Solution

The fourth proportional to 203,769, 281,201.76 and 114,345 is: 157,796.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,769 : 281,201.76 = 114,345 : x
  2. Step 2: Convert to fraction form
    203,769/281,201.76 = 114,345/x
  3. Step 3: Cross multiply
    203,769x = 281,201.76 × 114,345
  4. Step 4: Simplify right side
    203,769x = 32,154,015,247.20
  5. Step 5: Solve for x
    x = 32,154,015,247.20/203,769
  6. Step 6: Final answer
    x = 157,796.40

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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.