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Finding the Fourth Proportional to 203,775.82, 281,219.72 and 113,133.04

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Solution

The fourth proportional to 203,775.82, 281,219.72 and 113,133.04 is: 156,128.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,775.82 : 281,219.72 = 113,133.04 : x
  2. Step 2: Convert to fraction form
    203,775.82/281,219.72 = 113,133.04/x
  3. Step 3: Cross multiply
    203,775.82x = 281,219.72 × 113,133.04
  4. Step 4: Simplify right side
    203,775.82x = 31,815,240,562.83
  5. Step 5: Solve for x
    x = 31,815,240,562.83/203,775.82
  6. Step 6: Final answer
    x = 156,128.64

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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.