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Finding the Fourth Proportional to 165,396.31, 248,064.84 and 43,817.67

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Solution

The fourth proportional to 165,396.31, 248,064.84 and 43,817.67 is: 65,718.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    165,396.31 : 248,064.84 = 43,817.67 : x
  2. Step 2: Convert to fraction form
    165,396.31/248,064.84 = 43,817.67/x
  3. Step 3: Cross multiply
    165,396.31x = 248,064.84 × 43,817.67
  4. Step 4: Simplify right side
    165,396.31x = 10,869,623,297.72
  5. Step 5: Solve for x
    x = 10,869,623,297.72/165,396.31
  6. Step 6: Final answer
    x = 65,718.66

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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.