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Finding the Fourth Proportional to 292,085.73, 403,090.56 and 164,761.29

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Solution

The fourth proportional to 292,085.73, 403,090.56 and 164,761.29 is: 227,377.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    292,085.73 : 403,090.56 = 164,761.29 : x
  2. Step 2: Convert to fraction form
    292,085.73/403,090.56 = 164,761.29/x
  3. Step 3: Cross multiply
    292,085.73x = 403,090.56 × 164,761.29
  4. Step 4: Simplify right side
    292,085.73x = 66,413,720,652.42
  5. Step 5: Solve for x
    x = 66,413,720,652.42/292,085.73
  6. Step 6: Final answer
    x = 227,377.49

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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.