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Finding the Fourth Proportional to 201,859.72, 278,573.94 and 112,441.48

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Solution

The fourth proportional to 201,859.72, 278,573.94 and 112,441.48 is: 155,173.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,859.72 : 278,573.94 = 112,441.48 : x
  2. Step 2: Convert to fraction form
    201,859.72/278,573.94 = 112,441.48/x
  3. Step 3: Cross multiply
    201,859.72x = 278,573.94 × 112,441.48
  4. Step 4: Simplify right side
    201,859.72x = 31,323,266,103.03
  5. Step 5: Solve for x
    x = 31,323,266,103.03/201,859.72
  6. Step 6: Final answer
    x = 155,173.43

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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.