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Finding the Fourth Proportional to 149,380.70, 206,142.69 and 81,398.26

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Solution

The fourth proportional to 149,380.70, 206,142.69 and 81,398.26 is: 112,328.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,380.70 : 206,142.69 = 81,398.26 : x
  2. Step 2: Convert to fraction form
    149,380.70/206,142.69 = 81,398.26/x
  3. Step 3: Cross multiply
    149,380.70x = 206,142.69 × 81,398.26
  4. Step 4: Simplify right side
    149,380.70x = 16,779,656,277.72
  5. Step 5: Solve for x
    x = 16,779,656,277.72/149,380.70
  6. Step 6: Final answer
    x = 112,328.14

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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.