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Finding the Fourth Proportional to 193,640.76, 290,510.41 and 113,746.29

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Solution

The fourth proportional to 193,640.76, 290,510.41 and 113,746.29 is: 170,648.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    193,640.76 : 290,510.41 = 113,746.29 : x
  2. Step 2: Convert to fraction form
    193,640.76/290,510.41 = 113,746.29/x
  3. Step 3: Cross multiply
    193,640.76x = 290,510.41 × 113,746.29
  4. Step 4: Simplify right side
    193,640.76x = 33,044,479,891.33
  5. Step 5: Solve for x
    x = 33,044,479,891.33/193,640.76
  6. Step 6: Final answer
    x = 170,648.37

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.