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Finding the Fourth Proportional to 149,292.06, 206,019.93 and 81,310.20

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Solution

The fourth proportional to 149,292.06, 206,019.93 and 81,310.20 is: 112,206.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,292.06 : 206,019.93 = 81,310.20 : x
  2. Step 2: Convert to fraction form
    149,292.06/206,019.93 = 81,310.20/x
  3. Step 3: Cross multiply
    149,292.06x = 206,019.93 × 81,310.20
  4. Step 4: Simplify right side
    149,292.06x = 16,751,521,712.29
  5. Step 5: Solve for x
    x = 16,751,521,712.29/149,292.06
  6. Step 6: Final answer
    x = 112,206.38

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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.