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Finding the Fourth Proportional to 203,946.50, 281,403.50 and 123,358.26

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Solution

The fourth proportional to 203,946.50, 281,403.50 and 123,358.26 is: 170,208.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,946.50 : 281,403.50 = 123,358.26 : x
  2. Step 2: Convert to fraction form
    203,946.50/281,403.50 = 123,358.26/x
  3. Step 3: Cross multiply
    203,946.50x = 281,403.50 × 123,358.26
  4. Step 4: Simplify right side
    203,946.50x = 34,713,446,117.91
  5. Step 5: Solve for x
    x = 34,713,446,117.91/203,946.50
  6. Step 6: Final answer
    x = 170,208.59

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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.