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Finding the Fourth Proportional to 149,655.80, 206,529.35 and 81,677.13

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Solution

The fourth proportional to 149,655.80, 206,529.35 and 81,677.13 is: 112,716.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,655.80 : 206,529.35 = 81,677.13 : x
  2. Step 2: Convert to fraction form
    149,655.80/206,529.35 = 81,677.13/x
  3. Step 3: Cross multiply
    149,655.80x = 206,529.35 × 81,677.13
  4. Step 4: Simplify right side
    149,655.80x = 16,868,724,160.38
  5. Step 5: Solve for x
    x = 16,868,724,160.38/149,655.80
  6. Step 6: Final answer
    x = 112,716.81

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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.