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Finding the Fourth Proportional to 292,751.23, 403,991.44 and 165,424.09

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Solution

The fourth proportional to 292,751.23, 403,991.44 and 165,424.09 is: 228,282.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    292,751.23 : 403,991.44 = 165,424.09 : x
  2. Step 2: Convert to fraction form
    292,751.23/403,991.44 = 165,424.09/x
  3. Step 3: Cross multiply
    292,751.23x = 403,991.44 × 165,424.09
  4. Step 4: Simplify right side
    292,751.23x = 66,829,916,329.79
  5. Step 5: Solve for x
    x = 66,829,916,329.79/292,751.23
  6. Step 6: Final answer
    x = 228,282.27

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.