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Finding the Fourth Proportional to 149,965.68, 206,953.02 and 81,983.46

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Solution

The fourth proportional to 149,965.68, 206,953.02 and 81,983.46 is: 113,137.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,965.68 : 206,953.02 = 81,983.46 : x
  2. Step 2: Convert to fraction form
    149,965.68/206,953.02 = 81,983.46/x
  3. Step 3: Cross multiply
    149,965.68x = 206,953.02 × 81,983.46
  4. Step 4: Simplify right side
    149,965.68x = 16,966,724,637.05
  5. Step 5: Solve for x
    x = 16,966,724,637.05/149,965.68
  6. Step 6: Final answer
    x = 113,137.38

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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.