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Finding the Fourth Proportional to 149,420.48, 206,194.25 and 81,435.99

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Solution

The fourth proportional to 149,420.48, 206,194.25 and 81,435.99 is: 112,378.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,420.48 : 206,194.25 = 81,435.99 : x
  2. Step 2: Convert to fraction form
    149,420.48/206,194.25 = 81,435.99/x
  3. Step 3: Cross multiply
    149,420.48x = 206,194.25 × 81,435.99
  4. Step 4: Simplify right side
    149,420.48x = 16,791,632,881.06
  5. Step 5: Solve for x
    x = 16,791,632,881.06/149,420.48
  6. Step 6: Final answer
    x = 112,378.39

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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.