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Finding the Fourth Proportional to 292,897, 404,198.13 and 158,761

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Solution

The fourth proportional to 292,897, 404,198.13 and 158,761 is: 219,090.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    292,897 : 404,198.13 = 158,761 : x
  2. Step 2: Convert to fraction form
    292,897/404,198.13 = 158,761/x
  3. Step 3: Cross multiply
    292,897x = 404,198.13 × 158,761
  4. Step 4: Simplify right side
    292,897x = 64,170,899,316.93
  5. Step 5: Solve for x
    x = 64,170,899,316.93/292,897
  6. Step 6: Final answer
    x = 219,090.33

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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.