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Finding the Fourth Proportional to 203,654.40, 281,096.64 and 114,259.20

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Solution

The fourth proportional to 203,654.40, 281,096.64 and 114,259.20 is: 157,707.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,654.40 : 281,096.64 = 114,259.20 : x
  2. Step 2: Convert to fraction form
    203,654.40/281,096.64 = 114,259.20/x
  3. Step 3: Cross multiply
    203,654.40x = 281,096.64 × 114,259.20
  4. Step 4: Simplify right side
    203,654.40x = 32,117,877,209.09
  5. Step 5: Solve for x
    x = 32,117,877,209.09/203,654.40
  6. Step 6: Final answer
    x = 157,707.75

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.