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Finding the Fourth Proportional to 149,430.93, 206,213.36 and 81,447.90

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Solution

The fourth proportional to 149,430.93, 206,213.36 and 81,447.90 is: 112,397.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,430.93 : 206,213.36 = 81,447.90 : x
  2. Step 2: Convert to fraction form
    149,430.93/206,213.36 = 81,447.90/x
  3. Step 3: Cross multiply
    149,430.93x = 206,213.36 × 81,447.90
  4. Step 4: Simplify right side
    149,430.93x = 16,795,644,716.70
  5. Step 5: Solve for x
    x = 16,795,644,716.70/149,430.93
  6. Step 6: Final answer
    x = 112,397.38

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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.