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Finding the Fourth Proportional to 149,141.00, 205,818.38 and 81,161.66

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Solution

The fourth proportional to 149,141.00, 205,818.38 and 81,161.66 is: 112,005.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,141.00 : 205,818.38 = 81,161.66 : x
  2. Step 2: Convert to fraction form
    149,141.00/205,818.38 = 81,161.66/x
  3. Step 3: Cross multiply
    149,141.00x = 205,818.38 × 81,161.66
  4. Step 4: Simplify right side
    149,141.00x = 16,704,559,944.41
  5. Step 5: Solve for x
    x = 16,704,559,944.41/149,141.00
  6. Step 6: Final answer
    x = 112,005.15

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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.