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Finding the Fourth Proportional to 149,773.98, 206,680.39 and 81,777.85

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Solution

The fourth proportional to 149,773.98, 206,680.39 and 81,777.85 is: 112,849.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,773.98 : 206,680.39 = 81,777.85 : x
  2. Step 2: Convert to fraction form
    149,773.98/206,680.39 = 81,777.85/x
  3. Step 3: Cross multiply
    149,773.98x = 206,680.39 × 81,777.85
  4. Step 4: Simplify right side
    149,773.98x = 16,901,877,931.36
  5. Step 5: Solve for x
    x = 16,901,877,931.36/149,773.98
  6. Step 6: Final answer
    x = 112,849.23

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1.5x scale

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.