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Finding the Fourth Proportional to 292,930.82, 404,228.25 and 163,844.36

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Solution

The fourth proportional to 292,930.82, 404,228.25 and 163,844.36 is: 226,096.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    292,930.82 : 404,228.25 = 163,844.36 : x
  2. Step 2: Convert to fraction form
    292,930.82/404,228.25 = 163,844.36/x
  3. Step 3: Cross multiply
    292,930.82x = 404,228.25 × 163,844.36
  4. Step 4: Simplify right side
    292,930.82x = 66,230,516,894.03
  5. Step 5: Solve for x
    x = 66,230,516,894.03/292,930.82
  6. Step 6: Final answer
    x = 226,096.11

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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.