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Finding the Fourth Proportional to 201,699.36, 278,342.82 and 111,053.43

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Solution

The fourth proportional to 201,699.36, 278,342.82 and 111,053.43 is: 153,252.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,699.36 : 278,342.82 = 111,053.43 : x
  2. Step 2: Convert to fraction form
    201,699.36/278,342.82 = 111,053.43/x
  3. Step 3: Cross multiply
    201,699.36x = 278,342.82 × 111,053.43
  4. Step 4: Simplify right side
    201,699.36x = 30,910,924,876.87
  5. Step 5: Solve for x
    x = 30,910,924,876.87/201,699.36
  6. Step 6: Final answer
    x = 153,252.47

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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.