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Finding the Fourth Proportional to 149,165.30, 205,857.32 and 85,512.66

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Solution

The fourth proportional to 149,165.30, 205,857.32 and 85,512.66 is: 118,012.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,165.30 : 205,857.32 = 85,512.66 : x
  2. Step 2: Convert to fraction form
    149,165.30/205,857.32 = 85,512.66/x
  3. Step 3: Cross multiply
    149,165.30x = 205,857.32 × 85,512.66
  4. Step 4: Simplify right side
    149,165.30x = 17,603,406,586.11
  5. Step 5: Solve for x
    x = 17,603,406,586.11/149,165.30
  6. Step 6: Final answer
    x = 118,012.75

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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.