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Finding the Fourth Proportional to 203,844.80, 281,300.46 and 113,197.88

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Solution

The fourth proportional to 203,844.80, 281,300.46 and 113,197.88 is: 156,210.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,844.80 : 281,300.46 = 113,197.88 : x
  2. Step 2: Convert to fraction form
    203,844.80/281,300.46 = 113,197.88/x
  3. Step 3: Cross multiply
    203,844.80x = 281,300.46 × 113,197.88
  4. Step 4: Simplify right side
    203,844.80x = 31,842,615,715.02
  5. Step 5: Solve for x
    x = 31,842,615,715.02/203,844.80
  6. Step 6: Final answer
    x = 156,210.10

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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.