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Finding the Fourth Proportional to 203,731.69, 281,116.87 and 117,677.00

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Solution

The fourth proportional to 203,731.69, 281,116.87 and 117,677.00 is: 162,375.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,731.69 : 281,116.87 = 117,677.00 : x
  2. Step 2: Convert to fraction form
    203,731.69/281,116.87 = 117,677.00/x
  3. Step 3: Cross multiply
    203,731.69x = 281,116.87 × 117,677.00
  4. Step 4: Simplify right side
    203,731.69x = 33,080,990,154.11
  5. Step 5: Solve for x
    x = 33,080,990,154.11/203,731.69
  6. Step 6: Final answer
    x = 162,375.28

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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.