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Finding the Fourth Proportional to 202,197.67, 278,982.93 and 123,595.80

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Solution

The fourth proportional to 202,197.67, 278,982.93 and 123,595.80 is: 170,531.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,197.67 : 278,982.93 = 123,595.80 : x
  2. Step 2: Convert to fraction form
    202,197.67/278,982.93 = 123,595.80/x
  3. Step 3: Cross multiply
    202,197.67x = 278,982.93 × 123,595.80
  4. Step 4: Simplify right side
    202,197.67x = 34,481,118,621.63
  5. Step 5: Solve for x
    x = 34,481,118,621.63/202,197.67
  6. Step 6: Final answer
    x = 170,531.73

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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.