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Finding the Fourth Proportional to 203,885.88, 281,362.52 and 114,461.88

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Solution

The fourth proportional to 203,885.88, 281,362.52 and 114,461.88 is: 157,957.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,885.88 : 281,362.52 = 114,461.88 : x
  2. Step 2: Convert to fraction form
    203,885.88/281,362.52 = 114,461.88/x
  3. Step 3: Cross multiply
    203,885.88x = 281,362.52 × 114,461.88
  4. Step 4: Simplify right side
    203,885.88x = 32,205,283,000.74
  5. Step 5: Solve for x
    x = 32,205,283,000.74/203,885.88
  6. Step 6: Final answer
    x = 157,957.40

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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.