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Finding the Fourth Proportional to 149,392.38, 206,158.77 and 81,409.92

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Solution

The fourth proportional to 149,392.38, 206,158.77 and 81,409.92 is: 112,344.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,392.38 : 206,158.77 = 81,409.92 : x
  2. Step 2: Convert to fraction form
    149,392.38/206,158.77 = 81,409.92/x
  3. Step 3: Cross multiply
    149,392.38x = 206,158.77 × 81,409.92
  4. Step 4: Simplify right side
    149,392.38x = 16,783,368,973.00
  5. Step 5: Solve for x
    x = 16,783,368,973.00/149,392.38
  6. Step 6: Final answer
    x = 112,344.21

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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.