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Finding the Fourth Proportional to 292,932.61, 404,230.73 and 163,846.15

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Solution

The fourth proportional to 292,932.61, 404,230.73 and 163,846.15 is: 226,098.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    292,932.61 : 404,230.73 = 163,846.15 : x
  2. Step 2: Convert to fraction form
    292,932.61/404,230.73 = 163,846.15/x
  3. Step 3: Cross multiply
    292,932.61x = 404,230.73 × 163,846.15
  4. Step 4: Simplify right side
    292,932.61x = 66,231,646,992.38
  5. Step 5: Solve for x
    x = 66,231,646,992.38/292,932.61
  6. Step 6: Final answer
    x = 226,098.58

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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.