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Finding the Fourth Proportional to 149,749.64, 206,658.77 and 81,770.93

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Solution

The fourth proportional to 149,749.64, 206,658.77 and 81,770.93 is: 112,846.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,749.64 : 206,658.77 = 81,770.93 : x
  2. Step 2: Convert to fraction form
    149,749.64/206,658.77 = 81,770.93/x
  3. Step 3: Cross multiply
    149,749.64x = 206,658.77 × 81,770.93
  4. Step 4: Simplify right side
    149,749.64x = 16,898,679,148.38
  5. Step 5: Solve for x
    x = 16,898,679,148.38/149,749.64
  6. Step 6: Final answer
    x = 112,846.21

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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.