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Finding the Fourth Proportional to 292,819, 404,090.24 and 158,683

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Solution

The fourth proportional to 292,819, 404,090.24 and 158,683 is: 218,982.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    292,819 : 404,090.24 = 158,683 : x
  2. Step 2: Convert to fraction form
    292,819/404,090.24 = 158,683/x
  3. Step 3: Cross multiply
    292,819x = 404,090.24 × 158,683
  4. Step 4: Simplify right side
    292,819x = 64,122,251,553.92
  5. Step 5: Solve for x
    x = 64,122,251,553.92/292,819
  6. Step 6: Final answer
    x = 218,982.55

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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.