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Finding the Fourth Proportional to 137,846.40, 206,672.30 and 53,536.34

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Solution

The fourth proportional to 137,846.40, 206,672.30 and 53,536.34 is: 80,266.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,846.40 : 206,672.30 = 53,536.34 : x
  2. Step 2: Convert to fraction form
    137,846.40/206,672.30 = 53,536.34/x
  3. Step 3: Cross multiply
    137,846.40x = 206,672.30 × 53,536.34
  4. Step 4: Simplify right side
    137,846.40x = 11,064,477,220.34
  5. Step 5: Solve for x
    x = 11,064,477,220.34/137,846.40
  6. Step 6: Final answer
    x = 80,266.71

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.