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Finding the Fourth Proportional to 292,827, 404,101.28 and 158,691

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Solution

The fourth proportional to 292,827, 404,101.28 and 158,691 is: 218,993.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    292,827 : 404,101.28 = 158,691 : x
  2. Step 2: Convert to fraction form
    292,827/404,101.28 = 158,691/x
  3. Step 3: Cross multiply
    292,827x = 404,101.28 × 158,691
  4. Step 4: Simplify right side
    292,827x = 64,127,236,224.48
  5. Step 5: Solve for x
    x = 64,127,236,224.48/292,827
  6. Step 6: Final answer
    x = 218,993.59

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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.