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Finding the Fourth Proportional to 292,170.90, 403,196.25 and 164,858.34

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Solution

The fourth proportional to 292,170.90, 403,196.25 and 164,858.34 is: 227,504.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    292,170.90 : 403,196.25 = 164,858.34 : x
  2. Step 2: Convert to fraction form
    292,170.90/403,196.25 = 164,858.34/x
  3. Step 3: Cross multiply
    292,170.90x = 403,196.25 × 164,858.34
  4. Step 4: Simplify right side
    292,170.90x = 66,470,264,469.23
  5. Step 5: Solve for x
    x = 66,470,264,469.23/292,170.90
  6. Step 6: Final answer
    x = 227,504.74

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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.