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Finding the Fourth Proportional to 203,958, 281,462.04 and 114,534

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Solution

The fourth proportional to 203,958, 281,462.04 and 114,534 is: 158,056.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,958 : 281,462.04 = 114,534 : x
  2. Step 2: Convert to fraction form
    203,958/281,462.04 = 114,534/x
  3. Step 3: Cross multiply
    203,958x = 281,462.04 × 114,534
  4. Step 4: Simplify right side
    203,958x = 32,236,973,289.36
  5. Step 5: Solve for x
    x = 32,236,973,289.36/203,958
  6. Step 6: Final answer
    x = 158,056.92

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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.