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Finding the Fourth Proportional to 292,193.82, 403,205.31 and 164,881.26

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Solution

The fourth proportional to 292,193.82, 403,205.31 and 164,881.26 is: 227,523.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    292,193.82 : 403,205.31 = 164,881.26 : x
  2. Step 2: Convert to fraction form
    292,193.82/403,205.31 = 164,881.26/x
  3. Step 3: Cross multiply
    292,193.82x = 403,205.31 × 164,881.26
  4. Step 4: Simplify right side
    292,193.82x = 66,480,999,551.49
  5. Step 5: Solve for x
    x = 66,480,999,551.49/292,193.82
  6. Step 6: Final answer
    x = 227,523.63

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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.